SOLUTION: A number with three digits has the hundred digit 3 times the unit digit. The sum of the digits is 19. If the digits are written in reversed order, the value of the number is decrea

Question 896194: A number with three digits has the hundred digit 3 times the unit digit. The sum of the digits is 19. If the digits are written in reversed order, the value of the number is decreased by 594. Find the number.

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
100a+10b+c=x,
100c+10b+a=y,
x-y=594,
a=3c,
a+b+c=19
973 becomes 379
973-379=594
BTW
There are only three possibilities for a=3c but two of the sums don't work
1+3+15 doesn't work
2+6+11 doesn't work
3+9+7=19 works

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