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Two numbers are in the ratio 2:3 if each number is increased by 15 , the ratio become 7:8. Then the sum of the given number is |
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Answer» Let numbers are 2x & 3x. \((2x + 15):(3x + 15) = 7:8\) ⇒ \(\frac{2x + 15}{3x + 15} = \frac 78\) ⇒ \(16 x + 120 = 21x + 105\) ⇒ \(5x = 120-105\) ⇒ \(5x = 15\) ⇒ \(x = 3\) ∴ Numbers are 6, 9 ∴ Sum of numbers = 6 + 9 = 15 |
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