Two numbers are in the ratio 3 : 4. When 8 is subtracted from each, the ratio becomes 2 : 3. Find the greater number.
Let the numbers be x and y. x/y = 3/4 x = 3y/4 3x - 24 = 2y - 16 3x - 2y = 24 - 16 3 × 3/4y - 2y = 8 9y/4 - 2y = 8 9y - 8y = 32 y = 31 x = 3/4 × 32 = 24 Therefore, greater nimber is 32.
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