Question

A father and his son decide to sum their age. The sum is equal to sixty years. Six years ago the age of the father was five times the age of the son. Six years from now the son’s age will be:
A) 23 years B) 19 years C) 20 years D) 22 years
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Answer 1

Answer:

Six years ago,

Let the son's age be x yrs

Let the father's age be 5x yrs

Therefore,

Present age of son = (x+6)yrs

Present age of father = (5x+6)yrs

According to question sum of present ages of father and son equals 60, therefore:

x+6+5x+6=60

6x+12=60

6x=48

x=8

Therefore son's age before 6 yrs was 8yrs

Present son's age is (8+6)=14yrs

Son's age after 6yrs will be (14+6)= 20 years

So your answer is 20 years

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