Tom's age is T years, which is also the sum of the ages of his three

Question

Tom's age is T years, which is also the sum of the ages of his three children. His age N years ago was twice the sum of their ages then. What is T/N?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

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Leebash · Answer

Answer is D : 5
Explanation: let Sum of children age C,
Current year
T = C Equation 1
N years back
T-N = 2(C-3N) Equation 2
Solving Equation 1 and 2 we get
T/N = 5

AbhishekP220108 · Answer

Now
T=x+y+z......1

N years ago

T-n=2(x-n+y-n+z-n)
T-n=2(x+y+z)-6n
T-n=2T-6n
6n-n=2T-T
T/n=5

Dereno · Answer

Let the current ages of Tom’s children’s be a,b,c respectively.

Tom’s current age = T

Therefore, T = a+b+c

(T-N) = 2* ( a-N + b-N + c -N)

T - N = 2 * ( a+b+c - 3N)

substituting T = a+b+c

T - N = 2 * ( T - 3N)

T - N = 2T - 6N

5N = T

(T/N) = 5

Option D

CLStudyAbroad · Answer

Given, Tom's age = T years 
 sum of his three children's ages = T years (same of his age)

Let the number of years ago = N

Now, Tom's age N years ago will be = T - N
sum of children's age N years ago = T - 3N

Now as per the question, 
His age N years ago was twice the sum of their ages then. 
i.e. T-N = 2(T-3N)

Solving the equation:-
T-N = 2T -6N
T = 5N

and, T/N = 5:1 i.e. 5 
 Correct Answer:- (D) 5

Tom's age is T years, which is also the sum of the ages of his three

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GMAT Problem Solving (PS) Questions

Tom's age is T years, which is also the sum of the ages of his three

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

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Perfect 805 Score Debrief by Julia

My Rewards