Two numbers are in the ratio of 3 : 4. If 8 is added to each number, they become in the ratio of 4 : 5. Find the numbers.
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According to the question,
let x be the number, so that
3x + 8 + 4x + 8 = 4x + 5x
or, 7x + 16 = 9x
or, 16 = 9x - 7x = 2x
or, x = 16/2 = 8.
2x = 2(16) = 32
3x = 3(16) = 48
The numbers are 32 and 48.
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