The ratio of the present ages of Ravi and Ravish is 7 : 8. Four years ago, this ratio was 6 : 7. What will be the ratio of the ages of Ravi and Ravish after 16 years from now?
Answer & explanation
Correct answer: option 1
Present age = 7R, 8R
Four years ago age = 7R - 4, 8R - 4
ATQ,
⇒ \(\frac{7R\;-\;4}{8R\;-\;4}\) = \(\frac{6}{7}\)
⇒ 49R - 28 = 48R - 24
⇒ 1R = 4
Present age of Ravi = 7 × 4 = 28
Present age of Ravish = 8 × 4 = 32
After 16 years,
Ravi : Ravish = (28+16) : (32+16) = 44 : 48 = 11 : 12