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The sum of three numbers is 245. If the ratio of the first and second numbers is 2 : 3 and the ratio of the second and third numbers is 5 : 8, then find the second number:A. 50B. 75C. 90D. 4201. C2. A3. B4. D |
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Answer» Correct Answer - Option 3 : B Given: Sum of three numbers = 245 The ratio of first and second number = 2 : 3 The ratio of second and third number = 5 : 8 Calculation: Let the three numbers be A, B, and C. A : B = 2 : 3 ----(1) B : C = 5 : 8 ----(2) Multiply (1) with 5 and (2) with 3, to make the B ratio equal ⇒ A : B : C = 10 : 15 : 24 Let A = 10x, B = 15x, C = 24x ⇒ A + B + C = 245 ⇒ 10x + 15x + 24x = 245 ⇒ 49x = 245 ⇒ x = (245/49) ⇒ x = 5 Second Number ⇒ 15 × 5 ⇒ 75 ∴ The second number is 75. |
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