Question

Gordon is twice as old as his sister Vivian. If the sum of their ages is 24, how old is Gordon?

Answer 1

Answer:

et Gordon's age be 'G' years and vivian'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 vivian was when Gordon was vivian's age), so we need to take their age difference from vivian'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 vivian's age is = 112 - 64 = 48 years.

Step-by-step explanation: