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The ratio of three positive numbers is 2 : 3 : 5 and the sum of their squares is 608. The three numbers are
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- 2, 3, 5
- 10, 15, 25
- 8, 12, 20
- 4, 6, 10
Correct Option: C
Numbers = 2x, 3x and 5x,
According to question,
(2x)2 + (3x)2 + (5x)2 = 608
⇒ 4x2 + 9x2 + 25x2 = 608
⇒ 38x2 = 608
| ⇒ x2 = | = 16 | |
| 38 |
⇒ x = √16 = 4
∴ Numbers ⇒ 2x = 2 × 4 = 8
3x = 3 × 4 = 12
5x = 5 × 4 = 20
