Eight year ago, the ratio of ages of A and B was 5 ; 4. The ratio of their present ages is 6 : 5. What will be the sum (in years) of the ages of A and B after 7 years from now?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 102
Let the present age of A and B be 6x and 5x.
Age of A and B before 8 years,
A = 6x - 8 and B = 5x - 8
(6x - 8)/(5x - 8) = 5 : 4
on solving further we get,
x = 8
Age of A = 6x = 6 × 8 = 48 years
Age of B = 5x = 5 × 8 = 40 years
Sum of the age of A and B after 7 years = 48 + 40 + 14 = 102 years.