Three numbers are in the ratio . If the sum of their squares is 244, find the numbers.

Question

KnowledgeBoat · Accepted Answer

The ratio is . L.C.M. of 2, 3, 4 = 12. Since the ratio is 6 : 4 : 3, let the numbers be 6x, 4x and 3x. Given, sum of squares of numbers = 244. ∴ (6x)² + (4x)² + (3x)² = 244 ⇒ 36x² + 16x² + 9x² = 244 ⇒ 61x² = 244 ⇒ x² = ⇒ x = = 2 ∴ x = 2, 6x = 12, 4x = 8, 3x = 6. Hence, the numbers are 12, 8 and 6.

Mathematics

Three numbers are in the ratio . If the sum of their squares is 244, find the numbers.

Ratio Proportion

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