SSC GD 2023 PYQ — Question 55

The Correct answer is option 4 i.e. 30, 20 and 50.

Given that

The three numbers in the ratio of 6 : 4 : 10.

The sum of their squares is equal to 3800

Let the three numbers be 6x, 4x, and 10x

According to the question;

⇒ (6x)² + (4x)² +(10x)² = 3800

⇒ 36x² + 16x² + 100x² = 3800

⇒ 52x² + 100x² = 3800

⇒ 152x² = 3800

⇒ x² = 3800/152 = 25

⇒ x = 5

So, 6x = 6 × 5 = 30; 4x = 4 × 5 = 20; 10x = 10 × 5 = 50

Hence, the three numbers are 30, 20, and 50.