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The sum of present ages of a father and his son is 8 years more than the present age of the mother. The mother is 22 years older than the son. What will be the age of the father after 4 years?

A. 34 years B. 36 years C. 40 years D. 38 years Answer: Option A
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Solution(By Apex Team)

Let present age of father , mother and son be x, y and z respectively Sum of present ages of father and son = (Mother’s present age + 8 years) x + z = y + 8 years……………..(i) Mother’s present age = Son’s present age + 22 years) ⇒ y = z + 22 years…………..(ii) Put the value of y in equation (i) we get x + z = z + 22 + 8 x + z = z + 30 x = 30 years ∴ Father’s present age = 30 years Age of father after four years = 30 + 4 = 34 years ∴ Required age of father = 34 years