117k views
1 vote
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

User Mae
by
6.2k points

1 Answer

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

_____
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).
User Sam Critchley
by
6.7k points