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Let the first part be 5x and the second part be 6x. So, 60% of 5x + 50% of 6x = 84 => [(6 /100) × 5x] + [(50/100) × 6x] = 84 => 3x + 3x = 84 => x = 14 First part = 5x = 5 × 14 = 70 Second part = 6x = 6 × 14 = 84 The old umber will be 70 + 84 = 154 According to question, First part = 5x + 10 = 70 + 10 = 80 Second part = 6x + 10 = 84 + 10 = 94 ∴ The new number obtained is 174 The ratio of the old number to the new number = 154/174 = 77/87
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