SOLUTION: what two numbers equal 60 and have a difference of 7

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Question 106123: what two numbers equal 60 and have a difference of 7
Found 2 solutions by MathLover1, Fombitz:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


let one number be x, and another one be y:
given:
x%2By+=+60
x-y+=+7
from first equality:
x%2By+=+60
x=+60+-+y let substitute it in second equality
x-y=7
60-y-y=7
60+-2y=7
60-7+=+2y
53+=+2y
y+=+53%2F2
y+=+26.5
then
x=7%2By
x=+7%2B26.5
x+=+33.5
33.5%2B26.5=+60
33.5+-+26.5=7

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let;s call your numbers A and B.
1.+A%2BB=60
2.+A-B=7
Use 2. to solve for A in terms of B.
2.+A-B=7
A=7%2BB
Substitute that value in equation 1.
1.+A%2BB=60
%287%2BB%29%2BB=60
2B%2B7-7=60-7
2B=53
B=53%2F2=26.5
Substitute this value back into your equation for A.
A+=+7%2BB=7%2B26.5=33.5
Check your answers.
1.A%2BB=60
33.5%2B26.5=60
60=60
Good answer.
2.A-B=7+
33.5-26.5=7
7=7
Good answer.
Your two numbers are 26.5 and 33.5.