Two natural numbers are in the ratio 12 : 5 and the sum of their squares is 676. What are the numbers?
Explanation:
Let the numbers be 12x and 5x.
⇒ (12x)2 + (5x)2 = 676 ⇒ 144x2 + 25x2 = 676 ⇒ 169x2 = 676 ⇒ x2 = 4 ⇒ x = 2
∴ The numbers are 24 and 10.
Hence, option (b).
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