SOLUTION: if a two digit number is divided by the sum of its digits, the qoutient is 7. if the number expressed by the same digits in reverse order is divided by the sum of its digits, the q

Question 358974: if a two digit number is divided by the sum of its digits, the qoutient is 7. if the number expressed by the same digits in reverse order is divided by the sum of its digits, the qoutient is 4. find the number.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let the number be represented by xy.
From the given information, we get the system
.
After simplification, the two equations yield exactly the same equation:
. Therefore there are four possible answers: 21,42,63, and 84. (Incidentally the last three numbers are just multiples of 21 =))
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