SOLUTION: When you reverse the digits in a certain two-digit number you decrease its value by 27. What is the number if the sum of its digit is 7? PLEASE HELP ME!

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Question 1090317: When you reverse the digits in a certain two-digit number you decrease its value by 27. What is the number if the sum of its digit is 7? PLEASE HELP ME!
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The number, 10t+u;
Reversed its digits, t+10u;
Sum of digits is 7, t+u=7.

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reverse the digits in a certain two-digit number you decrease its value by 27.
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system%2810t%2Bu-t-10u=27%2Ct%2Bu=7%29

system%28t-u=3%2Ct%2Bu=7%29

The digits: system%28t=5%2Cu=2%29
Number: 52

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
To see more examples/samples of solved problems on reversing digits, see the lesson
    - Word problems on reversing digits of numbers
in this site.

It contains examples, solutions and detailed explanations.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Miscellaneous word problems".