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Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?
- a)35 yrs
- b)15 yrs
- c)25 yrs
- d)30 yrs
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, s...
Let the present age of Ashu's mother and Ashu be x and y respectively.
(x - 5) = 3 (y - 5)
⇒ x - 5 = 3y - 15
⇒ x - 3y = - 10 .....(i)
(x + 5) = 2 (y + 5)
⇒ x + 5 = 2y + 10
⇒ x - 2y = 5 .....(ii)
From (i) and (ii) we get x = 35 and y = 15
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(x - 5) = 3 (y - 5)
⇒ x - 5 = 3y - 15
⇒ x - 3y = - 10 .....(i)
(x + 5) = 2 (y + 5)
⇒ x + 5 = 2y + 10
⇒ x - 2y = 5 .....(ii)
From (i) and (ii) we get x = 35 and y = 15
Most Upvoted Answer
Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, s...
Given Information:
- Ashu's mother was three times as old as Ashu 5 years ago.
- After 5 years, she will be twice as old as Ashu.
Let's solve the problem step by step:
Step 1: Assign Variables
Let's assume Ashu's current age is A years, and his mother's current age is M years.
Step 2: Translate the Given Information into Equations
- According to the first statement, 5 years ago, Ashu was A - 5 years old, and his mother was M - 5 years old. Given that Ashu's mother was three times as old as Ashu 5 years ago, we can write the equation: M - 5 = 3(A - 5).
- According to the second statement, after 5 years, Ashu will be A + 5 years old, and his mother will be M + 5 years old. Given that she will be twice as old as Ashu, we can write the equation: M + 5 = 2(A + 5).
Step 3: Solve the Equations
- Now, we have two equations:
1. M - 5 = 3(A - 5)
2. M + 5 = 2(A + 5)
Solving these equations simultaneously, we get:
M - 5 = 3A - 15
M = 3A - 10
Substitute M = 3A - 10 into the second equation:
3A - 10 + 5 = 2A + 10
A = 15
Therefore, Ashu is currently 15 years old.
Final Answer: Ashu is 15 years old today.
- Ashu's mother was three times as old as Ashu 5 years ago.
- After 5 years, she will be twice as old as Ashu.
Let's solve the problem step by step:
Step 1: Assign Variables
Let's assume Ashu's current age is A years, and his mother's current age is M years.
Step 2: Translate the Given Information into Equations
- According to the first statement, 5 years ago, Ashu was A - 5 years old, and his mother was M - 5 years old. Given that Ashu's mother was three times as old as Ashu 5 years ago, we can write the equation: M - 5 = 3(A - 5).
- According to the second statement, after 5 years, Ashu will be A + 5 years old, and his mother will be M + 5 years old. Given that she will be twice as old as Ashu, we can write the equation: M + 5 = 2(A + 5).
Step 3: Solve the Equations
- Now, we have two equations:
1. M - 5 = 3(A - 5)
2. M + 5 = 2(A + 5)
Solving these equations simultaneously, we get:
M - 5 = 3A - 15
M = 3A - 10
Substitute M = 3A - 10 into the second equation:
3A - 10 + 5 = 2A + 10
A = 15
Therefore, Ashu is currently 15 years old.
Final Answer: Ashu is 15 years old today.
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Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer?
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Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer?.
Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ashu's mother was three times as old as Ashu 5 yrs ago. After 5 yrs, she will be twice as old as Ashu. How old is Ashu today?a) 35 yrs b) 15 yrs c) 25 yrs d) 30 yrs Correct answer is option 'B'. Can you explain this answer?.
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