SOLUTION: 25. The sum of the tens and hundreds digits of a three-digit number is 12. The units digit is 0. If the tens and hundreds digits were interchanged, the number would be increased by

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Question 924002: 25. The sum of the tens and hundreds digits of a three-digit number is 12. The units digit is 0. If the tens and hundreds digits were interchanged, the number would be increased by 540. Find the original number.
Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let 100x+10y+0 be the number
We are told that:
x+y=12---eq1
We are also told that:
100y+10x+0=100x+10y+0+540
90x-90y=-540
x-y=-6---------eq2
add eq1 and eq2
2x=6
x=3------ the 100s digit
substitute x=3 in eq2:
3-y=-6
y=9 -----the 10s digit
Sooo the original number is 390
CK
3+9=12
12=12
930=390+540
930=930
Hope this helps----ptaylor