I need help with an algebra problem

User Generated

cgureevna

Mathematics

Description

The sum of two numbers is 65.  The smaller number is 9 less than the larger number.  What are both the numbers?

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Explanation & Answer

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Let the 2 numbers be x and y and let the smaller number be y.


The sum of two numbers is 65.

x + y = 65 --- (1)


The smaller number is 9 less than the larger number.

y = x - 9 ---(2)


Substitute y from equation (2) in equation (1)

x + x - 9 = 65

2x = 65 + 9

2x = 74

x = 74/2

x = 37


Substitute value of x in equation (2)

y = 37 - 9

y = 28


So the numbers are 37 and 28.

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Anonymous
I was having a hard time with this subject, and this was a great help.

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