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Question

# When a two-digit number is divided by another two-digit number the result is 3.125. Find the numbers.

A
25, 8
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B
50, 16
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C
25, 16
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D
50, 8
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Solution

## The correct option is B 50, 16Given decimal is 3.125. Now, 3.125 = 31251000 = 125×2540×25 = 12540 = 25×58×5 = 258 Given that, the numbers are two-digit numbers. But 8 is a single digit number. So finding a equivalent fraction 258 so that the denominator is a 2 digit number. Hence multiplying both numerator and denominator by 2; we get, 258 = 25×28×2 =5016 ∴ Required numbers are 50, 16

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