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27 March, 09:58

The difference of two numbers is 40. Their sum is 66. Find the numbers.

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  1. 27 March, 11:49
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    Let the 2 numbers be a and b. Let a be the larger.

    i) "The difference of two numbers is 40" means: a-b=40, thus

    a=b+40

    ii) "their sum is 66" means : a+b=66

    In i) we found that a=b+40, so substitute a=b+40 in ii):

    a+b=66

    (b+40) + b=66

    2b+40=66

    2b=26

    b=13

    a=b+40=13+40=53

    the numbers are 53 and 13
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