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Two numbers are in the ratio 3: 5. If 8 is added to each number, the ratio becomes 2:3. Find the numbers. |
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Answer» Let the number be 3x and 5x 3x + 8 : 5x + 8 = 2 : 3 (3x + 8)/(5x + 8) = 2/3 ⇒ 2(5x + 8) = 3(3x + 8) ⇒ 10x + 16 = 9x + 24 ⇒ 10x - 9x = 24 - 16 ⇒ x = 8 ∴ The number are 24 and 40. |
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