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SSC Selection Post 2022 PYQ — Question 53

SSC Selection Post - Matriculation Level 2022 - 7 Feb 2022 - Shift 3 • Quantitative Aptitude • Q53

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Four years ago, the ratio of the ages of A and B was 3 : 5. Six years hence, the ratio of the ages of A and B will be 2 : 3. What is the sum (in years) of the present ages of A and B?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 88.

According to the question,

⇒ (3x+10)(5x+10)=23{(3x+10)\over(5x+10)}={2\over3}

 ⇒ 3(3x + 10) = 2(5x + 10)

 ⇒ 9x + 30 = 10x + 20

 ⇒ x = 10

Present age of A = 3x + 4 = 30 + 4 = 34 years

Present age of B = 5x + 4 = 50 + 4 = 54 years

Sum = 34 + 54 = 88