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22 May, 07:40

A 2 - digit number with 2 different digits has a special property:

"when the sum of its digits is added to the product of its digits, the result is the number itself."

what is the smallest number with this property?

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Answers (1)
  1. 22 May, 10:38
    0
    Hello,

    a is the digit of tenth (not zero)

    b the digit of units

    The number is 10*a+b

    Sum of digits: a+b

    Product of digits=a*b

    a+b+ab=10a+b

    ==>9a=ab

    ==>b=9

    Th smallest number is 19.

    1+9=10

    1*9=9

    10+9=19
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