Answer to Question #6154 in Algebra for kenny knisley
A two-digit number is 11 times its units digit. The sum of the digits is 12. Find the number.
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