SOLUTION: The sum of the digits of a three-digit number is 12. The tens digit is two times the hundreds digit. The sum of the units and tens digits is three times the hundreds digit. Find th

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the digits of a three-digit number is 12. The tens digit is two times the hundreds digit. The sum of the units and tens digits is three times the hundreds digit. Find th      Log On


   

Question 593510: The sum of the digits of a three-digit number is 12. The tens digit is two times the hundreds digit. The sum of the units and tens digits is three times the hundreds digit. Find the number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 3 digit numbber be xyz
x+y+z=12
y=2x
y+z= 3x

y=2x
substitute y =2x in
Y+z =3x
2x+z=3x
z=3x-2x
z=x
x+y+z=12
x+2x+x=12
4x=12
/4
x=3
z=x so z=3
x+y+z=12
3+y+3=12
y+6=12
y=12-6
y=6
so the number is 363