The sum total of the ages of father and son is 55yrs.if the father was to live till his son's age equal his present age,the total of their ages would be 93 yrs .find present ages

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Solution

Let the present age of the son and the father be x and y respectively.

Case (i)
Sum of the ages of father and son is 55 years
⇒ x + y = 55 --------- (1)
Difference between their ages = (y - x) years.

Case (ii)
Age of the son = x + (y - x) = y
Age of the father = y + (y - x) = 2y - x
(2y - x) + y = 93
3y - x = 93 ---------- (2)

Solving equations (1) and (2), we get y = 37 and x = 18.

Therefore, present age of the son is 18 years and the present age of the father is 37 years.

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