SOLUTION: the sum of two numbers 89. Adding four times the first number to the second number gives 155. what equation can be used to solve this problem?

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Question 972954: the sum of two numbers 89. Adding four times the first number to the second number gives 155. what equation can be used to solve this problem?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let's numbers be x and y
if the sum of two numbers is 89, then we have
x%2By=89.........eq.1

if adding four times the first number (means 4x) to the second number gives 155, we have
4x%2By=155.........eq.2
now we have system to solve:
x%2By=89.........eq.1
4x%2By=155.........eq.2
---------------------------subtract eq.1 from eq.2
4x%2By-x-y=155-89
4x%2Bcross%28y%29-x-cross%28y%29=66
4x-x=66
3x=66
x=66%2F3
highlight%28x=22%29

now go to eq.1, substitute 22 for x and solve for y
22%2By=89.........eq.1
y=89-22
highlight%28y=67%29

so, your numbers are 22 and 67