SOLUTION: Two numbers added together equal 22, and their difference is 12. what are the numbers?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Two numbers added together equal 22, and their difference is 12. what are the numbers?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 939376: Two numbers added together equal 22, and their difference is 12. what are the numbers?
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
let x,y be the numbers
their sum = 22
x+y=22 .........eq(1)
their difference is 12
x-y =12.............eq(2)
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+22%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+12+%29%0D%0A++We'll use substitution. After moving 1*y to the right, we get:
1%2Ax+=+22+-+1%2Ay, or x+=+22%2F1+-+1%2Ay%2F1. Substitute that
into another equation:
1%2A%2822%2F1+-+1%2Ay%2F1%29+%2B+-1%5Cy+=+12 and simplify: So, we know that y=5. Since x+=+22%2F1+-+1%2Ay%2F1, x=17.

Answer: system%28+x=17%2C+y=5+%29.