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Two numbers are in the ratio 4 : 3. If 2 is added to each of the number the new ratio becomes 5 : 4. Then, find the numbers

Solution

Correct Option: 3

Let numbers be 4x4x and 3x3x. Then 4x+23x+2=54\frac{4x + 2}{3x + 2} = \frac{5}{4}. Cross-multiplying: 16x+8=15x+1016x + 8 = 15x + 10, so x=2x = 2. Numbers are 8 and 6.

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