SOLUTION: the sum of digits of a three-digit number is 15. The digit at tens place is half of the sum of digits at hundreds and units places. If 396 is added to the number , the digits at h

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of digits of a three-digit number is 15. The digit at tens place is half of the sum of digits at hundreds and units places. If 396 is added to the number , the digits at h      Log On


   

Question 1110306: the sum of digits of a three-digit number is 15. The digit at tens place is half of the sum of digits at hundreds and units places. If 396 is added to the number , the digits at hundreds and units places are interchanged. Find the number.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
h = the hundreds digit
t = the tens digit
u = the units (or ones) digit
100h + 10t + u = the number "HTU"
100u + 10t + h = the number "UTH" with the digits at 
the hundreds and units places interchanged

the sum of digits of a three-digit number  is 15. 

h+%2B+t+%2B+u+=+15

The digit at tens place is half of the sum of digits at hundreds and units places.

t%22%22=%22%22expr%281%2F2%29%28h%2Bu%29

If 396 is added to the number, the digits at hundreds and units places are interchanged. Find the number.

100h+%2B+10t+%2B+u%2B396%22%22=%22%22100u%2B10t%2Bh

Can you solve the system of those three equations?


Edwin