A fathers age was 5 times his sons age 5 years ago and will be 3 times sons age after 2 years. The ratio of their present ages is-

A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years. The ratio of their present ages is-

A father's age was 5 times his son's age 5 years ago and will be 3 times son's age after 2 years. The ratio of their present ages is- ?

Created: 1 week ago | Updated: 1 week ago | Created By:

Imran Ahmed

5 : 2

5 : 3

10 : 3

11 : 5

0 1

Best Answer Explained in Below-:

let, the present ages of the son and the father are a and b, respectively. The age of the father 5 years ago was five times the age of his son. a - 5 = 5(b - 5) or, a – 5 = 5b - 25 ∴ 5b - a = 20 - - - - - - - - - (1) 2 years hence, the father’s age will be thrice that of his son. a + 2 = 3(b + 2) or, a + 2 = 3b + 6 ∴ a – 3b = 4 - - - - - - - - - - - - (2) On adding (1) and (2), we get: 2b = 24 ∴b = 12 Substituting b = 12 in equation (2), we ge, a = 40 Ratio of their present ages = a:b = 40:12 = 10:3 ans: 10:3

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