SOLUTION: A two digit number is seven times the sum of its digits. if each digit is increased by 2,the number thus obtained is 4 more than six times the sum of its digits. find the number

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Question 894082: A two digit number is seven times the sum of its digits. if each digit is increased by 2,the number thus obtained is 4 more than six times the sum of its digits. find the number
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
10T%2BU, the two digit number.
T for the tens digit and U for the units digit.

10T%2BU=7%28T%2BU%29; 10%28T%2B2%29%2B%28U%2B2%29=4%2B6%28T%2B2%2BU%2B2%29.
Two linear equation in the variables T and U.
Simplify each equation and solve the system.