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28 April, 22:20

The difference of two numbers is 40. Find the numbers if 0.3 parts of one number is equal to 37.5% of the other one.

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  1. 28 April, 22:37
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    Answer:Let the two unknown numbers be x and y.

    So, x-y=40 ... Equation 1

    And 0.3 (x) = 37.5/100 (y)

    From equation 1, x=40+y

    Now, multiply through by 100 in equation 2.

    We have,

    30x = 37.5 (y)

    We can multiply through by 10 again, so that the number on the L. H. S becomes a whole number.

    Therefore, we have

    300x = 375 (y)

    Put "x=40+y" in the equation above

    That is, 300 (40+y) = 375 (y)

    1200 + 300y = 375y

    1200 = 375y - 300y

    1200 = 75y

    Divide both sides by 75 to get your y

    Therefore, y = 16

    From equation 1, we had x = 40 + y

    Therefore X = 40 + 16

    X = 56

    Therefore the two unknown numbers are 56 and 16 respectively.
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