The ratio of two numbers is 14: 9. If each number is
decreased by 8 the ratio becomes 2: 1. Find the
difference of the numbers
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Step-by-step explanation:
Let the nos. be 14x and 9x
Hence, 14x - 8 / 9x - 8 = 2
Hence, (14x - 8) = 2(9x - 8)
14x - 8 = 18x - 16
Therefore, 18x - 14x = 16 - 8
4x = 8
So, x = 2
Then the nos. will be:
14 * 2 = 28
9 * 2 = 18
Hence, the difference in the nos. is 28 - 18 = 10
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