SOLUTION: A two-digit counting number has a value that is 7 more than 6 times the sum of its digits. If the units digit is 3 less than the tens digit, what is the number?

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Question 706405: A two-digit counting number has a value that is 7 more than 6 times the sum of its digits. If the units digit is 3 less than the tens digit, what is the number?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = the count of the tens
Let u = the count of the ones or units.

In expanded form, the two digit number is 10t+u.

Translation from written English into arithmetic symbolism:
10t%2Bu=7%2B6%28t%2Bu%29 AND u=-3%2B10t

Transforming those equations should give the system:
4t-5u=7
10t-u=3
Be-aware, I may have made a mistake in there. Try approach described on your own, see if you get a good result.