The ratio of the age of A and B is 10 : 13. The ratio of the age of A, ten years ago to the age of B after ten year is 08 : 15. Find the ratio of the age of A, ten years hence to the age of B ten year ago.
Answer & explanation
Correct answer: option 1
A : B
10 : 13
↓-10 ↓+10
8 : 15
\(\frac{A}{B}\) =\(\frac{10}{13}\)
let age of A = 10x and age of B = 13x
Now , according to question
\(\frac{10x-10}{13x+10}\) = \(\frac{8}{15}\)
150x - 150 = 104x + 80
46x = 230
x = 5
so,
A's age 10 hence = 10x5 + 10 = 60
B's age 10 years ago = 13x5 - 10 = 55
Ratio = 60 : 55 = 12 : 11