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

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



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) About Me  (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
matrix%282%2C1%2C%2810x+%2B+y%29%2F%28x%2By%29+=+7%2C+%2810y+%2B+x%29%2F%28x%2By%29+=+4%29.
After simplification, the two equations yield exactly the same equation:
x+=+2y. Therefore there are four possible answers: 21,42,63, and 84. (Incidentally the last three numbers are just multiples of 21 =))