Question
A and B are at present in the ratio 10:7. The ratio of A
after 30 years to B 9 years ago equals 5:1. If C’s present age is 33⅓% less than (A+B) now, calculate C’s current age.Solution
ATQ, Let present ages of A and B be 10x and 7x years. (10x + 30)/(7x - 9) = 5/1 ⇒ 10x + 30 = 35x - 45 ⇒ 25x = 75 ⇒ x = 3 Sum = 10x + 7x = 17x = 51 Therefore, C = (2/3) × 51 = 34 years
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