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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Let father's age be “x” and son’s age be “y”
A/q, current age of father and son is 60 years.
I. E. x+y=60…..(i)
6 years ago,
Father's age=(x-6)
and son’s age=(y-6)
And, father's age was 5 times of son’s age
I. E. (x-6) = 5(y-6)…. (ii)
= >x-6 = 5y-30
=>5y-x=24
Adding (i) and (ii)
(y+x=60) +(5y-x=24)
=>6y=84
=>y=14
So, son’s present age is 14 years and after 6 years his age will be (14+6)=20years.
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