PLEASE HELP WILL GIVE 30 POINTS AND BRAINLIEST.

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

The statement is ?
The number is ?

Respuesta :

10x +y = xy +26

There are thee (3) sets of numbers that satisfy this.
.. (x, y) = (3, 2) . . . . the number is 32
.. (x, y) = (5, 6) . . . . the number is 56
.. (x, y) = (9, 8) . . . . the number is 98


If you solve the equation for y, you get
.. y = 10 -16/(x -1)
so x-1 is a 1-digit factor of 16: 2, 4, 8. These give rise to the solutions above.
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