# Answer to Question #6154 in Algebra for kenny knisley

Question #6154

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

Expert's answer

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

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

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