SOLUTION: The sum of the digits of a two digit number is 12. (So, I am thinking the problem for that statement would be x + y = 12) The number is 13 times the tens digit. Find the numbe

Question 229991: The sum of the digits of a two digit number is 12. (So, I am thinking the problem for that statement would be x + y = 12)
The number is 13 times the tens digit. Find the number.
I cannot for the life of me figure out the second equation. If I am given the equation, I can work the problem, but I can't seem to understand anything other than 13(x) = z. (But if I use that, I will then have 3 variables in a systems of equations problem.)
Help!
Marie
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two digit number is 12. (So, I am thinking the problem for that statement would be x + y = 12)
;
That's right, but also we know: x = 10's digit and y = units; therefore:
the number = 10x + y
:
The number is 13 times the tens digit. Find the number.
10x + y = 13x
:
Now you can substitute (12-x) for y and solve for x, then find y
:
:
you should get a number of 39
:

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