1.

Three numbers are in the ratio 4 ∶ 5 ∶ 6. If the sum of their squares is 1925, then what are the numbers?1). 20, 25, 302). 15, 20, 403). 20, 35, 304). 40, 20, 10

Answer»

LET the three numbers be 4x, 5x and 6x.

The sum of their squares = 1925

⇒ (4x)2 + (5x)2 + (6x)2 = 1925

⇒ 16x2 + 25x2 + 36x2 = 1925

⇒ 77x2 = 1925

⇒ x2 = 1925/77 = 25

⇒ x = 5

The three numbers are 4x = 20, 5x = 25 and 6x = 30

Hence, the three numbers are 20, 25 and 30.



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