Question

Find three positive number in the ratio 2 3 5 the sum of whose squares is 950

Answer 1

Answer:

the Number of ratio is 2x+3x+5x=950

10x=950

x=950/10

x=95

so ratio 2 = 95×2 = 190

3x=95*3=285

5x=95*5=475

Answer 2

• Let the number be M.

» Three positive number in the ratio 2:3:5 the sum of whose squares is 950.

A.T.Q.

→ (2M)² + (3M)² + (5M)² = 950

→ 4M² + 9M² + 25M² = 950

→ 38M² = 950

→ M² = 950/38

→ M² = 25

→ M = 5

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• 2M = 2(5) = 10

• 3M = 3(5) = 15

• 5M = 5(5) = 25

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10, 15 and 25 are the numbers.

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✡ Verification :

=> (2M)² + (3M)² + (5M)² = 950

=> 38M² = 950

From above calculations we have M = 5

=> 38(5)² = 950

=> 38(25) = 950

=> 950 = 950

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