SarkariPYQ

SSC CGL 2024 PYQ — Question 62

SSC CGL - 24 Sep 2024 - Shift 1 • Quantitative Aptitude • Q62

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The present age of Amit's father is 6 times Amit's age. After 6 years, his age will be three and a half times Amit's age. So how many times will his father's age be after 15 years from Amit's age

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Correct answer: D

Explanation

The correct answer is option 4 i.e  2372\frac{3}{7} .

According to the given question,

Ratio of the age = amit's father : amit = 6x : 1x

After 6 years, he would be three and a half times of Amit’s age

(6x + 6)/(x + 6) = 3.5/1

⇒ 6x + 6 = 3.5x + 21

⇒ x = 6

amit's father : amit = 36 : 6

after 9 + 6 = 15 years:

(amit's father : amit) = (36 + 15) : (6 + 15) = 51 : 21

Now his father's age be than Amit's age = 51/21 = 2372\frac{3}{7}