The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

Question

The sum of two integers is 74. The larger is 26 more than twice the smaller. Find the two integers.

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    2022-01-06T02:16:54+00:00

    To find the answer,we can set up two equations:

    Let the integer be x and y seperately,and x be the larger number:

    x+y=74
    y=74-x….(1)

    x-2y=26…(2)

    Put (1) into (2):

    x-2(74-x)=26
    x-148+2x=26
    3x=26+148
    x=174/3
    x=58

    Put the above answer into (1):

    y=74-58
    y=16

    Therefore,the answer is x=58, y=16.

    Hope it helps!

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