SOLUTION: The sum of 2 numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number

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Question 993758: The sum of 2 numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let numbers be x and y, and let x be larger number
if the sum of 2 numbers is 110, we have
x%2By=110
y=110-x.........eq.1
if the larger number x is 2 less than 7 times the smaller number y we have
x%2B2=7y
y=%28x%2B2%29%2F7......eq.2
to find the larger number x equal the right sides of eq.1 and eq.2:
110-x=%28x%2B2%29%2F7.........solve for x
7%28110-x%29=%28x%2B2%29
770-7x=x%2B2
770-2=x%2B7x
768=8x
768%2F8=x
highlight%28x=96%29=> larger number
and smaller number is:
y=110-96
y=14