SOLUTION: a two-didgit number is 11 times it's unit digits. the sum of the digits is 12. find that number

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Question 384231: a two-didgit number is 11 times it's unit digits. the sum of the digits is 12. find that number
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
We have the system of equations
10a + b = 11b
a + b = 12
From the first equation we obtain 10a = 10b --> a = b. By substituting into the second equation we immediately get a = b = 6, so the number is 66.