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Of three positive numbers, the ratio of first and second is 4 ∶ 7, that of second and third is 2 ∶ 3. The product of first and third is 4200. What is the sum of the three numbers?1). 2252). 2153). 2504). 235 |
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Answer» Let the three numbers be X, y and z. Ratio of x and y = 4 ? 7 Ratio of y and z = 2 ? 3 Then, x ? y ? z = 8 ? 14 ?21 Let the three NUMBER be 8A, 14a and 21a. The product of x and z = 4200 ⇒ x × z = 4200 ⇒ 8a × 21a = 4200 ⇒ a2 = 25 ⇒ a = 5 First number = x = 8a = 40 Second number = y = 14a = 70 Third number = z = 21a = 105 The SUM of three numbers = 40 + 70 + 105 = 215 |
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