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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: |
65 63 64 60 |
63 |
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. |
