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The sum of three numbers is 98. If the ratio of the first number to second number is 2 : 3 and that of the second number to the third number is 5 : 8, then the second number is:1. 602. 303. 204. 345. 40 |
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Answer» Correct Answer - Option 2 : 30 Given: Sum of three numbers = 98. Ratio of First number to Second number is 2 : 3. Ratio of Second number to Third number is 5 : 8. Calculation: Let the three numbers be A, B and C. Then, A : B = 2 : 3 and B : C = 5 : 8 ⇒ \( 5 \times \frac{3}{5}\) : \(8 \times \frac{3}{5}\) = 3 : \(\frac{{24}}{5}\) ⇒ A : B : C = 2 : 3 : \(\frac{{24}}{5}\) ⇒ 10 : 15 : 24 ⇒ B = \(98 \times \frac{{15}}{{49}}\) = 30. ∴ Second number is 30. |
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