Banking Exams Exam > Banking Exams Questions > P’s age 8 years ago is equal to the sum of t...
Start Learning for Free
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?
- a)18 years
- b)20 years
- c)23 years
- d)28 years
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
P’s age 8 years ago is equal to the sum of the present ages of his so...
Given information:
P’s age 8 years ago = Son's age + Daughter's age
Daughter’s age + 5 = (7/6) * (Son’s age + 5)
P’s wife’s age = P’s age + 7
P’s wife’s age = 3 * Son’s age
Solution:
Let's assume P's present age = P years
Son's present age = S years
Daughter's present age = D years
P’s wife’s present age = W years
Step 1: Find P's age 8 years ago:
P’s age 8 years ago = P - 8
Step 2: Find the sum of the present ages of son and daughter:
Sum of present ages = Son's age + Daughter's age = S + D
Step 3: Equate the sum of present ages to P's age 8 years ago:
P - 8 = S + D
=> P = S + D + 8 …(Equation 1)
Step 4: Find the ratio between daughter's age and son's age 5 years hence:
Daughter's age 5 years hence = D + 5
Son's age 5 years hence = S + 5
According to the given information,
(D + 5) / (S + 5) = 7/6
=> 6(D + 5) = 7(S + 5)
=> 6D + 30 = 7S + 35
=> 6D - 7S = 5 …(Equation 2)
Step 5: Find the relation between P's age and his wife's age:
According to the given information,
W = P + 7 …(Equation 3)
W = 3S …(Equation 4)
Step 6: Solve the equations:
Solving equations 1, 2, 3, and 4 simultaneously will give us the values of S, D, P, and W.
From Equation 4, we get:
P + 7 = 3S
=> P = 3S - 7
Substituting this value of P in Equation 1, we get:
3S - 7 = S + D + 8
=> 2S = D + 15 …(Equation 5)
Substituting the value of P from Equation 4 in Equation 3, we get:
W = 3(3S - 7)
=> W = 9S - 21
Substituting the value of W from Equation 4 in Equation 3, we get:
9S - 21 = S + 7
=> 8S = 28
=> S = 28/8 = 7/2 = 3.5
Substituting the value of S in Equation 5, we get:
2(3.5) = D + 15
=> 7 = D + 15
=> D = -8
But the age cannot be negative, so this value of D is not valid.
Conclusion:
Since the value of D is not valid, we cannot determine the daughter's present age. Therefore
P’s age 8 years ago = Son's age + Daughter's age
Daughter’s age + 5 = (7/6) * (Son’s age + 5)
P’s wife’s age = P’s age + 7
P’s wife’s age = 3 * Son’s age
Solution:
Let's assume P's present age = P years
Son's present age = S years
Daughter's present age = D years
P’s wife’s present age = W years
Step 1: Find P's age 8 years ago:
P’s age 8 years ago = P - 8
Step 2: Find the sum of the present ages of son and daughter:
Sum of present ages = Son's age + Daughter's age = S + D
Step 3: Equate the sum of present ages to P's age 8 years ago:
P - 8 = S + D
=> P = S + D + 8 …(Equation 1)
Step 4: Find the ratio between daughter's age and son's age 5 years hence:
Daughter's age 5 years hence = D + 5
Son's age 5 years hence = S + 5
According to the given information,
(D + 5) / (S + 5) = 7/6
=> 6(D + 5) = 7(S + 5)
=> 6D + 30 = 7S + 35
=> 6D - 7S = 5 …(Equation 2)
Step 5: Find the relation between P's age and his wife's age:
According to the given information,
W = P + 7 …(Equation 3)
W = 3S …(Equation 4)
Step 6: Solve the equations:
Solving equations 1, 2, 3, and 4 simultaneously will give us the values of S, D, P, and W.
From Equation 4, we get:
P + 7 = 3S
=> P = 3S - 7
Substituting this value of P in Equation 1, we get:
3S - 7 = S + D + 8
=> 2S = D + 15 …(Equation 5)
Substituting the value of P from Equation 4 in Equation 3, we get:
W = 3(3S - 7)
=> W = 9S - 21
Substituting the value of W from Equation 4 in Equation 3, we get:
9S - 21 = S + 7
=> 8S = 28
=> S = 28/8 = 7/2 = 3.5
Substituting the value of S in Equation 5, we get:
2(3.5) = D + 15
=> 7 = D + 15
=> D = -8
But the age cannot be negative, so this value of D is not valid.
Conclusion:
Since the value of D is not valid, we cannot determine the daughter's present age. Therefore
Free Test
FREE
| Start Free Test |
Community Answer
P’s age 8 years ago is equal to the sum of the present ages of his so...
Given,
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter.
Let,
5 years hence age of daughter and son be 7x years and 6x years respectively,
Then,
Present age of daughter = (7x − 5) years
Present age of son = (6x − 5) years
Present age of P = [(7x−5) + (6x−5) + 8]
= (13x−2) years
∴ Present age of P's wife = [(13x − 2) + 7]
= (13x + 5) years
Present age of P's wife is thrice the present age of his son.
(13x + 5) = 3(6x − 5)
⇒ x = 4
So,
His daughter's present age = (7x−5)
= 23 years
Hence, the correct option is (C).
|
Explore Courses for Banking Exams exam
|
|
Similar Banking Exams Doubts
Top Courses for Banking ExamsView all
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Banking Exams.
Download more important topics, notes, lectures and mock test series for Banking Exams Exam by signing up for free.
Here you can find the meaning of P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice P’s age 8 years ago is equal to the sum of the present ages of his son and his daughter. 5 years hence, the ratio between his daughter’s age and his son’s age will be 7 : 6 respectively. P’s wife is 7 years elder than him. His wife’s present age is thrice the present age of his son. What is his daughter’s present age?a)18 yearsb)20 yearsc)23 yearsd)28 yearse)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Banking Exams tests.
|
|
Explore Courses for Banking Exams exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup