Question 424706
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