Two positive numbers are in the ratio 8 : 13. If the sum of their squares is 2097, then the sum of the two numbers is:
Answer & explanation
Correct answer: option 2
Here,
A : B
8 : 13
⇒ The sum of their squares = 2097
⇒ (64 + 169)\( {x }^{2 } \) = 2097
⇒ 233\( {x }^{2 } \) = 2097
⇒ \( {x }^{2 } \) = 9
⇒ x = 3.
⇒ Sum of A and B = (8 + 13)x = 21 × 3 = 63.