Two positive numbers are in the ratio 8

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Ratios

Question:

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:

Options:

Correct Answer:

Explanation:

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.