4 years ago the ratio of the age of A and B was 5 4 and after x years average of the ages of A and B...........

Quantitative Aptitude(IBPS RRB PO) Problems based on Ages

4 years ago, the ratio of the age of A and B was 5 : 4 and after x years, average of the ages of A and B will be (x + 22) years, then 2 years ago the age of A was

24 years

22 years

(x – 6) years

Cannot be determined

None of these

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Explanation:

Let 4 years ago, the ages of A and B be 5a years and 4a years, then
Present age of A = (5a + 4) years
Present age of B = (4a + 4) years
After x years, their average age will be (x + 22) years, then
[(5a + 4) + x] + [(4a + 4) + x] = (x + 22) × 2
⇒ 9a + 8 = 44
⇒ 9a = 44 – 8 =36
⇒ a = 36/9 = 4
Hence, 2 years ago the age of A was = (5a + 4) – 2 = 5a + 2 = 5 × 4 + 2 = 22 years