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Two numbers are in the ratio 3: 5. If 10 is added to each number, then the ratio becomes 5: 7. Find the numbers.

Solution

Correct Option: 3

Let numbers be 3x3x and 5x5x. Then (3x+10)/(5x+10)=5/7(3x+10)/(5x+10) = 5/7.

Cross multiply: 7(3x+10)=5(5x+10)7(3x+10) = 5(5x+10), giving 21x+70=25x+5021x + 70 = 25x + 50.

4x=204x = 20, so x=5x = 5. Numbers are 15 and 25.

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