Question 86

The sum of the ages of a father and son is 45. Six years ago, their ages were in the ratio 10 : 1. How old will the son be after six years?

Solution

F + S= 45..... (1)

before 6 years

F -6 + S -6 = 10X + X

F + S - 12 = 11X........(2)

PUT ( 1) IN (2)

45 -12 = 11X

3 = X

X is the age of son before 6 years = 3

so present age = 3 + 6 = 9 years

so the age after 6 years = 9 + 6 = 15 years

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