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Two numbers are in a ratio 7 : 13. If 12 is added to the numbers the ratio turns to 61 : 103, find the numbers when 109 is added to them.

Two numbers are in a ratio 7 : 13. If 12 is added to the numbers the ratio turns to 61 : 103, find the numbers when 109 is added to them. Correct Answer 79 : 100

Let the numbers be in terms of x. The initial numbers are 7x, 13x. 7x + 12 : 13x + 12 = 61 : 103 On solving we get x = 7 The terms will be 49, 91 When 109 is added to the terms the numbers will be 158, 200. The ratio of the numbers will be 79 : 100.

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