SOLUTION: the hundreds digits is two times the ones digits. the ones digits is two times the tens digit. All the digits are even numbers what is the number? sweetmako@ymail.com

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the hundreds digits is two times the ones digits. the ones digits is two times the tens digit. All the digits are even numbers what is the number? sweetmako@ymail.com      Log On


   



Question 303374: the hundreds digits is two times the ones digits. the ones digits is two times the tens digit. All the digits are even numbers what is the number?
sweetmako@ymail.com

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the 100's digit
Let y = the 10's digit
Let z = the ones digit
:
100x + 10y + z = the number
:
Write an equation for each statement:
"the hundreds digits is two times the ones digits."
x = 2z
:
"the ones digits is two times the tens digit."
z = 2y
:
replace z with 2y in the 1st equation
x = 2(2y)
x = 4y
All the digits are even numbers
from this we know y has to = 2 then x = 8
:
thn z = 2(2) = 4:
:
The number 824