The combined ages of a man and his son is 60 years. Twelve years ago,

1.	The combined ages of a man and his son is 60 years. Twelve years ago, the father waslive times as old as his son. Find their present ages.
Answer» 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) 12 years ago, Father's age=(x-12) and son’s age=(y-12) And, father's age was 5 times of son’s age I. E. (x-12) = 5(y-12)…. (ii) = >x-6 = 5y-60 =>5y-x=54 Adding (i) and (ii) (y+x=60) +(5y-x=54) =>6y=114 =>y=19 So, son’s present age is 19 years and after 12 years his age will be (19+12)=31years.

The combined ages of a man and his son is 60 years. Twelve years ago, the father waslive times as old as his son. Find their present ages.

Answer»

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)

12 years ago,

Father's age=(x-12) and son’s age=(y-12)

And, father's age was 5 times of son’s age

I. E. (x-12) = 5(y-12)…. (ii)

= >x-6 = 5y-60

=>5y-x=54

Adding (i) and (ii)

(y+x=60) +(5y-x=54)

=>6y=114

=>y=19

So, son’s present age is 19 years and after 12 years his age will be (19+12)=31years.