Seven years ago, the ratio of the ages of A and B was 4 : 5. Eight years hence, the ratio of the ages of A and B will be 9 : 10. What is the sum of their present ages in years?
Answer & explanation
Correct answer: option 3
ATQ,
Lets assume present age of A is 4x + 7
present age of B is 5x + 7
Given, 8 years hence ratio of ages of A and B = \(\frac{4X + 7 + 8}{5X + 7 + 8}\) = \(\frac{9}{10}\)
⇒ 40x + 150 = 45x + 135
⇒ x = 3
Present age of A = 19
Present age of B = 22
Sum of present ages of A and B = 41 years