Question

Tanya's grandfather was 8 times older to her 16 years ago. He would be 3 times her age 8 years from now. Eight years ago, what was the ratio of Tanya's age to that of her grandfather?

• A. 1:2
• B. 1:5
• C. 3:8
• D. None of these

Answer 1

The correct option is D

None of these

16 years ago, let T = x years and G = 8x years

After 8 years from now, T = (x+16+8) years and G = (8x+16+8) years

$\therefore$8x+24 = 3(x+24) $\Rightarrow$ 5x = 48.

8 years ago, ratio of ages would be -

$\frac{T}{G}=\frac{x+8}{8x+8}=\frac{\frac{48}{5}+8}{8\times \frac{48}{5}+8}=\frac{88}{424}=\frac{11}{53}$