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The digits of a two-digit number are reversed. When both these two-digit numbers are added, the result is 88, and when subtracted, the result is 54. The original two-digit number contains which of the following digits?
2
3
5
7

Explain your reasoning.
How did you come to your conclusion?

  • math -

    original number: 10x+y
    reversed number: 10y+x

    their sum: 11x + 11y = 88
    x+y = 8
    their difference: 9x-9y=54
    x-y=6

    add these two:
    2x = 14
    x=7
    sub back in:
    7+y=8
    y=1

    thus ....

  • math -

    thank you, Mr. Reiny.

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