SOLUTION: The sum of two interferes is 74. The larger is 26 more than twice the smaller.find the two integers

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Question 1133526: The sum of two interferes is 74. The larger is 26 more than twice the smaller.find the two integers
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let's two integers be x and y where x is the larger integer
if the sum of two integers is 74 we have
x%2By=74........eq.1

if the larger is 26 more than twice the smaller, we have
x=2y%2B26..........eq.2
substitute it in eq.1

2y%2B26%2By=74........eq.1...solve for y
3y=74-26
3y=48
y=48%2F3
highlight%28y=16%29

go back to x=2y%2B26..........eq.2 substitute y value
x=2%2A16%2B26
x=32%2B26
highlight%28x=58%29

so, your integers are: highlight%2858%29 and highlight%2816%29