Answer to Question #6154 in Algebra for kenny knisley

Question

A two-digit number is 11 times its units digit. The sum of the digits is 12. Find the number.

Answer 1

Let we have two digits: x and y then we can write the number as: 10x + y.
A two-digit number is 11 times its units digit - that means: 10x + y = 11y
The sum of the digits is 12 and the second equation: x + y = 12
from the first equation: x = y, putting into the second: 2x=12,
So we get the answer: x = 6, y = 6.
And the number is 66