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28 October, 02:42

The tens digit of a two-digit number is five more than the units digit. The sum of the digits is 9. Find the number.

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Answers (2)
  1. 28 October, 03:42
    0
    B=A+5

    10A+B=3 (A+B)

    Replace the B's in the bottom equation with A+5s, because we know that's the same thing from the top equation

    10A+A+5=3 (A+A+5)

    11A+5=3 (2A+5)

    11A+5=6A+15

    5A=10

    A=2

    Then B is 5 more than that so B=7

    Your number is 27

    **To double check**

    When we double check this and see 7 is 5 more than then 2. Then 27 is three times what we get when we add the digits (2+7=9).
  2. 28 October, 03:45
    0
    72

    Step-by-step explanation:

    7-2=5 which fits the requirement.

    7+2 = 9 which also works so its 72
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