Jse a system of linear equations with two varlables and two equations to solve. A number is 10 more than another number. Twice the sum of the two numbers is 36. Find the two r Enter the numbers in increasing order. First Number: Second Number:

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 31P
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Jse a system of linear equations with two variables and two equations to solve.
A number is 10 more than another number. Twice the sum of the two numbers is 36. Find the bwo m
Enter the numbers in increasing order.
First Number:
Second Number:
nolve.
Transcribed Image Text:Jse a system of linear equations with two variables and two equations to solve. A number is 10 more than another number. Twice the sum of the two numbers is 36. Find the bwo m Enter the numbers in increasing order. First Number: Second Number: nolve.
Expert Solution
Step 1

Given that a number is 10 more than another number and twice the sum of the 2 numbers is 36.

When written in increasing order, first number is smaller than the second number.

Let the first number be x and the second number be y.

Thus, x is smaller than y.

Since one number is 10 more than another number, we can say that the bigger number is 10 more than the smaller number.

That is, y is 10 more than x and hence we get the equation y=10+x.

Now, twice the sum of the 2 numbers is 36 means 2×x+y is 36.

Thus, we get the equation 2x+y=36.

 

 

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