SOLUTION: the units digit of a two digit number exceeds twice the tens digit by one. the sum of its digits is 10.find the number

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Question 538976: the units digit of a two digit number exceeds twice the tens digit by one. the sum of its digits is 10.find the number
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Let t be the tens digit.
Let u be the units digit.
Can you go on from here?
Maybe you need a translation.
"the units digit ... exceeds twice the tens digit by one" means u=2t%2B1
"the sum of its digits is 10" means u%2Bt=10
Those two equations make a system of linear equations, but you don't need to know names. You can just solve it any way you can. Can you solve it now?
For example substituting the expression 2t%2B1 for u
in u%2Bt=10, you get
2t%2B1%2Bt=10 ---> 3t%2B1=10 ---> 3t=10-1 ---> 3t=9 ---> t=9%2F3 ---> t=3
So u=2t%2B1 turns into u=2%2A3%2B1 --> u=7
So your number is 37.