SOLUTION: the sum of the digits in a two digit number is 17. if the digits are reversed, the new number will be 9 less than the original number. what is the original number?

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Question 123166: the sum of the digits in a two digit number is 17. if the digits are reversed, the new number will be 9 less than the original number. what is the original number?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let t="tens digit" and u="units digit"

"the sum of the digits in a two digit number is 17" __ t+u=17 __ t=17-u

"if the digits are reversed, the new number will be 9 less than the original number"
__ 10u+t+9=10t+u

substituting for t __ 10u+17-u+9=170-10u+u __ 18u=144