Subject: General Aptitude · Chapter: Problems on Ages · Exam: · Marks: · Difficulty:
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? [United India Insurance Co. Ltd., (UIICL) Assistant (Online) Exam, 2015] PROBLEMS ON AGES
(a)34 years
(b)36 years
(c)40 years
(d)38 years
(e)28 years
Answer
Answer (as printed): A
Explanation
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) ⇒ y = z + 22 …(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
Explanation as extracted from the printed page; notation may be imperfect.