SSC Selection Post 2020 PYQ — Question 70

SSC Selection Post - Graduation Level 2020 - 14 Dec 2020 - Shift 3 • Quantitative Aptitude • Q70

The ratio of the present ages of Prabhu and Ramesh is 4 : 7, respectively. After 5 years, the ratio will change to 5:8. Find the present age of Prabhu.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 2 i.e. 20 years.

According to the question,

⇒ 4x+57x+5=58{4x+5\over7x+5}={5\over8}

⇒ 8(4x + 5) = 5(7x + 5)

 ⇒ 32x + 40 = 35x + 25

 ⇒ 3x = 15

 ⇒ x = 5

Present age of Prabhu = 4x = 20 years