Question

Write the statement for the problem in mathematical language. Use x for the tens digit and y for the unit digits in the two digit numbers. Find the two-digit number which is greater than the product of its digits by 26

Answer 1

10x + y - xy = 26 . . . . . . your "statement in mathematical language"

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This can be rearranged to
.. y = 10 -16/(x -1)
so x-1 must be a factor of 16 that is larger than 1, hence 2, 4, 8.

Integer solutions are (x, y) = (3, 2), (5, 6), (9, 8).