Quant Exam > Quant Questions > Arun will be half as old as Lilly in 3 years....
Start Learning for Free
Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?
- a)6
- b)8
- c)9
- d)5
- e)4
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Arun will be half as old as Lilly in 3 years. Arun will also be one-th...
let age of Arun =x, Lilly =y James = z
(x+3) =1/2 *(y+3) so we have 2x-y =-3 -(1)
(x+5) =1/3 * (z+5) ; ⇒ 3x-z=-10 -(2)
From (1)&(2) we get, x+y-z =-7 -(3)
we have z =15+y – (4)
from equation 3 and 4 we get x=8
(x+3) =1/2 *(y+3) so we have 2x-y =-3 -(1)
(x+5) =1/3 * (z+5) ; ⇒ 3x-z=-10 -(2)
From (1)&(2) we get, x+y-z =-7 -(3)
we have z =15+y – (4)
from equation 3 and 4 we get x=8
Most Upvoted Answer
Arun will be half as old as Lilly in 3 years. Arun will also be one-th...
Let's break down the information given in the question:
- In 3 years, Arun will be half as old as Lilly.
- In 5 years, Arun will be one-third as old as James.
- James is 15 years older than Lilly.
We need to determine Arun's current age.
Let's assume Arun's current age is A, Lilly's current age is L, and James' current age is J.
From the given information, we can write the following equations:
1) In 3 years, Arun will be half as old as Lilly:
A + 3 = (L + 3)/2
2) In 5 years, Arun will be one-third as old as James:
A + 5 = (J + 5)/3
3) James is 15 years older than Lilly:
J = L + 15
Now, let's solve these equations to find the values of A, L, and J.
Solving equation 3 for L, we get:
L = J - 15
Substituting this value of L in equations 1 and 2, we get:
A + 3 = ((J - 15) + 3)/2
A + 5 = (J + 5)/3
Simplifying these equations, we have:
2A + 6 = J - 12 + 3
3A + 15 = J + 5
Rearranging the equations, we get:
2A - J = -15
3A - J = -10
Now, let's solve these two equations simultaneously to find the values of A and J.
Multiplying the first equation by 3 and the second equation by 2, we get:
6A - 3J = -45
6A - 2J = -20
Subtracting these two equations, we eliminate A:
-3J + 2J = -45 - (-20)
-J = -25
J = 25
Substituting the value of J in equation 3, we get:
L = 25 - 15
L = 10
Finally, substituting the values of J and L in equation 2, we can solve for A:
3A - 25 = -10
3A = 15
A = 5
Therefore, Arun is currently 5 years old. Hence, the correct answer is option B.
- In 3 years, Arun will be half as old as Lilly.
- In 5 years, Arun will be one-third as old as James.
- James is 15 years older than Lilly.
We need to determine Arun's current age.
Let's assume Arun's current age is A, Lilly's current age is L, and James' current age is J.
From the given information, we can write the following equations:
1) In 3 years, Arun will be half as old as Lilly:
A + 3 = (L + 3)/2
2) In 5 years, Arun will be one-third as old as James:
A + 5 = (J + 5)/3
3) James is 15 years older than Lilly:
J = L + 15
Now, let's solve these equations to find the values of A, L, and J.
Solving equation 3 for L, we get:
L = J - 15
Substituting this value of L in equations 1 and 2, we get:
A + 3 = ((J - 15) + 3)/2
A + 5 = (J + 5)/3
Simplifying these equations, we have:
2A + 6 = J - 12 + 3
3A + 15 = J + 5
Rearranging the equations, we get:
2A - J = -15
3A - J = -10
Now, let's solve these two equations simultaneously to find the values of A and J.
Multiplying the first equation by 3 and the second equation by 2, we get:
6A - 3J = -45
6A - 2J = -20
Subtracting these two equations, we eliminate A:
-3J + 2J = -45 - (-20)
-J = -25
J = 25
Substituting the value of J in equation 3, we get:
L = 25 - 15
L = 10
Finally, substituting the values of J and L in equation 2, we can solve for A:
3A - 25 = -10
3A = 15
A = 5
Therefore, Arun is currently 5 years old. Hence, the correct answer is option B.
Community Answer
Arun will be half as old as Lilly in 3 years. Arun will also be one-th...
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer?
Question Description
Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer?.
Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer?.
Solutions for Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Arun will be half as old as Lilly in 3 years. Arun will also be one-third as old as James in 5 years. If James is 15 years older than Lilly, how old is Arun?a)6b)8c)9d)5e)4Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup