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31 October, 09:25

A value 5 times a smaller number is 1 less than a larger number. their difference is 73

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  1. 31 October, 09:31
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    The numbers are 18 and 91

    Step-by-step explanation:

    You can translate the information to two equations:

    a value 5 times a smaller number is 1 less than a larger number

    5a = b - 1

    their difference is 73

    b - a = 73

    Then you should merge one equation into the other, thereby eliminating one variable. You can do this any way you want. I choose to rewrite the first equation as:

    b = 5a + 1

    Now I can write 5a+1 in the second equation at the place where b was:

    5a + 1 - a = 73

    It is now an equation with only one variable, solve by simplifying

    4a = 72

    a = 18

    Now b can be found using b = 5a + 1

    b = 91
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