Question

Gordon is twice as old as Tony was when Gordon was as old as Tony is now. The combined age of Gordon and Tony is 112 years. How old are Gordon and Tony now?

Answer 1

Solution:-
Let Gordon's age be 'G' years and Tony's age be 'T' years.
So, G + T = 112 years .........(1)
Their age difference is (G - T). We know that Gordon is two times (how old Tony was when Gordon was Tony's age), so we need to take their age difference from Tony's current age. it is as follows.
2 × {T - (G - T)} = G
2 × {T - G + T} = G
2T - 2G + 2T = G
4T - 2G = G
4T = G + 2G
4T = 3G
T = 3G/4
Putting the value of T = 3G/4 in equation (1), we get
G + 3G/4 = 112
7G = 112*4
7G = 448
G = 448/7
G = 64
So, the present age of Gordon is 64 Years and Tony's age is = 112 - 64 = 48 years.
Answer.

Answer 2

Answer:

Solution:-

Let Gordon's age be 'G' years and Tony's age be 'T' years.

So, G + T = 112 years .........(1)

Their age difference is (G - T). We know that Gordon is two times (how old Tony was when Gordon was Tony's age), so we need to take their age difference from Tony's current age. it is as follows.

2 × {T - (G - T)} = G

2 × {T - G + T} = G

2T - 2G + 2T = G

4T - 2G = G

4T = G + 2G

4T = 3G

T = 3G/4

Putting the value of T = 3G/4 in equation (1), we get

G + 3G/4 = 112

7G = 112*4

7G = 448

G = 448/7

G = 64

So, the present age of Gordon is 64 Years and Tony's age is = 112 - 64 = 48 years.

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