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Question
Two numbers are in the ratio 2 : 3. If 5 is added to each number, the ratio becomes 5 : 7. Find the numbers.
Solution
Let the two numbers be 2x and 3x.
According to the given information,
`=(2x +5) /(3x+ 5) = 5/7`
14x + 35 = 15x + 25
x = 10
Thus, the numbers are 2 × 10 = 20 and 3 × 10 = 30.
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