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4 July, 22:45

The sum of two numbers is 38. The greater number is 5 more than twice the lesser number. What is the greater of the two numbers?

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  1. 5 July, 02:26
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    Have the first number be x and the other number be y.

    Write the first equation: The sum is 38:

    x+y=38

    Then the second equation: x is 5 more than than 2y:

    x=2y+5

    Take the first equation and make it y=38-x

    Then substitute it in for the 2nd equation to find x:

    x=2 (38-x) + 5

    x=76-2x+5

    3x=81

    x=27

    Then substitute that into the 1st equation to find y:

    (27) + y=38

    y=11

    The first number (x) is greater than the second number (y) because 27 is greater than 11
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