The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago, the ratio of their ages was 13 : 6. What is the father's present age ?

65 years 58 years 45 years 78 years

45 years

ATQ , \(\frac{13x + 6 }{6x + 6 }\) = \(\frac{15}{8}\) 104x + 48 = 90x + 90 14x = 42 x = \(\frac{42}{14}\) = 3 Present age of Father = 13 × 3 + 6 = 39 + 6 = 45 years