The ratio of ages of A and B, 8 years ago was 2 : 3.  Four years ago, the ratio of their ages was 5 : 7.  What will be the ratio of their ages 8 years from now?

4 : 5

A    :    B

2    :    3   →  8 years ago

5    :    7   →  4 years ago

ATQ,

\(\frac{2x + 4}{3x + 4}\) = \(\frac{5}{7}\)

14x + 28 = 15x + 20

x = 8

Therefore,

  A     :      B

 2x    :     3x    (8 years ago)

 16    :     24   (as x = 8)

+16       +16  

 32          40    (after 8 years from now)

  4     :     5