SOLUTION: it is an odd number with three digits. All the digit are different and add up to 12. He difference between the first two digits equals the difference between the last two digits. W

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: it is an odd number with three digits. All the digit are different and add up to 12. He difference between the first two digits equals the difference between the last two digits. W      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 805551: it is an odd number with three digits. All the digit are different and add up to 12. He difference between the first two digits equals the difference between the last two digits. What is the number?
Found 2 solutions by Alan3354, ankor@dixie-net.com:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
it is an odd number with three digits. All the digit are different and add up to 12. He difference between the first two digits equals the difference between the last two digits. What is the number?
------------
345, 543, 147, 741

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
it is an odd number with three digits.
a, b, c
:
All the digit are different and add up to 12.
a + b + c = 12
:
He difference between the first two digits equals the difference between the last two digits.
a - b = b - c
a = 2b - c
2b = a + c
:
We can replace a + b in the 1st equation with 2b
2b + b = 12
3b = 12
b = 4
therefore
2(4) = a + c
a + c = 8
:
What is the number? 741, only odd number that works