SOLUTION: The sum of the digits of a three digit number is 17. The middle digit is two more than the first digit. The third digit is one less than twice the first digit. Find the number.

Question 424706: The sum of the digits of a three digit number is 17. The middle digit is two more than the first digit. The third digit is one less than twice the first digit. Find the number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let the 3 digits be x, y, z
:
Write an equation for each statement:
"The sum of the digits of a three digit number is 17."
x + y + z = 17
:
" The middle digit is two more than the first digit."
y = x+2
:
"The third digit is one less than twice the first digit."
z = 2x - 1
:
Find the number.
using the 1st equation, substitute for y and z from the 2nd and 3rd equations
x + (x+2) + (2x-1) = 17
4x + 1 = 17
4x = 17 - 1
4x = 16
x = 4
:
I'll let you find y and z, make sure they add up to 17
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