SOLUTION: find the two numbers whose sum is 29 and whose difference is 15.

Algebra ->  Equations -> SOLUTION: find the two numbers whose sum is 29 and whose difference is 15.      Log On


   

Question 395860: find the two numbers whose sum is 29 and whose difference is 15.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the two numbers be x and y
sum is 29, and you have
x+%2B+y+=+29
and their difference is 15
x+-+y+=+15...assuming x%3Ey


x+%2B+y+=+29..........(1)
x+-+y+=+15...........(2).......solve this system

x+=+29+-+y..........(1).substitute in (2)
%2829+-+y%29+-+y+=+15...........(2).solve for y
29+-+2y+=+15
-+2y+=+15+-+29
-+2y+=+-+14
y+=+%28-+14%29%2F%28-2%29
y+=+7

now find x
x+=+29+-+y
x+=+29+-+7
x+=+22

check:
x+%2B+y+=+29
22+%2B+7+=+29
29+=+29


x+-+y+=+15
22+-+7+=+15
15+=+15