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Question 126

Two numbers are in the ratio 5:6 and when 3 is added to each of them. their ratio becomes 7:8. Then the sum of those two numbers is

Solution

Let the two numbers be 5x and 6x. When 3 is added to both, ration becomes 7:8
$$\frac{5x+3}{6x+3}=\frac{7}{8}$$

Cross multiplying, we get: x = 3/2
Hence, sum of the two numbers = 11x = 33/2

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