SOLUTION: One integer is twice another, and their sum is 96. Find the integers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: One integer is twice another, and their sum is 96. Find the integers.      Log On


   



Question 182499This question is from textbook
: One integer is twice another, and their sum is 96. Find the integers. This question is from textbook

Answer by eperette(173) About Me  (Show Source):
You can put this solution on YOUR website!
Let
x = integer 1
y = integer 2
x = 2y
x + y = 96
we will use substitution to solve this
x + y = 96
2y + y = 96
3y = 96
3y/3 = 96/3
1y = 32
now lets go back and substitute y=32 to find x
x = 2y
x = 2(32)
y = 64
answer: smaller number = 32 and larger number = 64
check: 32+64=96 correct
2(32)=64 correct