System of Equations

[lovehopefaith98]

I need some help with the following problem:

You can represent the value of any two-digit number with the expression 10a + b, where a is the tens' place digit and b is the ones' place digit. For example, if a is 5 and b is 7, then the value of the number is 10(5) + 7, or 57. What two-digit number is described below?
-The ones' place digit is one more than twice the tens' place digit.
-The value of the number is two more than five times the ones' place digit.

I made my equations, but I don't think they are right.
b=2a + 1
ab=2 + 5b

The teacher said the answer is 37, but I can't figure out how to get the answer. Thanks for any help!

 

[lovehopefaith98]

Ok, so the equations are
b=2a + 1
10a + b= 2 + 5b?

I solved them, and didn't get the right answer. Somehow, I got 6/5 for a....
Thanks so much for your help!

 

[lovehopefaith98]

Thanks to all of you for all your help! I figured it out.