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31 July, 09:56

A three digit number is divided by another three digit number gives 3.724. What are the two numbers?

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  1. 31 July, 10:24
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    Answer: the numbers are 250 and 931

    Step-by-step explanation:

    We have two numbers of 3 digits, A and B such that:

    A/B = 3.724

    A = 3.724*B

    now we can divide the 3.724 in two parts

    3.724 = 3 + 0.724

    A = (3 + 0.724) * B = 3*B + 0.724*B

    So, for now we want to find a number B of 3 digits (i will try to find the smallest possible value of B, because we need to multiplicate B by 3.724 to find A), such that:

    0.724*B is an integer.

    for example, we can start at B = 1000, and then we will start to reduce the value of B

    0.724*1000 = 7240 is an integer, this is an even number, this means that we can take B = 500 and we still will get an integer number.

    0.724*500 = 362.

    Again, we have an even number, so we can take B = 250 and the result will be also an integer number.

    0.724*250 = 181.

    Ok, stop here, we can suppose B = 250, then we have:

    A = 3.074*B = 3.724*250 = 931

    Then the numbers are 250 and 931
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