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SSC MTS 2024 PYQ — Question 17

SSC MTS - 30/09/2024 - (9:00 AM - 11:00 AM) • Quantitative Aptitude • Q17

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The ratio of the present age of A and B is 3 : 1. Five years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be:

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 38.

According to the question,

3x−5x−5=51{{3x-5}\over{x-5}} = {5\over1}

3x - 5 = 5x - 25

2x = 20

x = 10

Age of A after eight years = 3x + 8 = 30 + 8 = 38 years