SOLUTION: The sum of two numbers is 76. The larger number is 14 more than the smaller number. What are the two numbers?

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Question 1086322: The sum of two numbers is 76. The larger number is 14 more than the smaller number. What are the two numbers?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let two numbers be x and y where x is the larger number
if the sum of two numbers is 76 we have:
x%2By=76....solve for x
x=76-y......eq.1

if the larger number is 14 more than the smaller number, we have
x=y%2B14.......eq.2
from eq.1 and eq.2 we have
76-y=y%2B14
76-14=y%2By
62=2y
y=31
now find x
x=y%2B14.......eq.2
x=31%2B14
x=45
so, your numbers are: 31 and 45