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Q. 107

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Elementary Algebra
Found in: Page 612
Elementary Algebra

Elementary Algebra

Book edition 2nd
Author(s) Lynn Marecek, MaryAnne Anthony-Smith
Pages 1240 pages
ISBN 9780998625713

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Short Answer

In the following exercises, translate to a system of equations and solve.

The sum of two numbers is 15. One number is 3 less than the other. Find the numbers.

The numbers are 6 and 9

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1. Given Information 

The given data is that the sum of two numbers is 15. One number is 3 less than the other.

Step 2. Calculation 

Let us assume that x be the first number and y be the second number.

The sum of two number is 15 implies that x+y=15--(1)

One number is 3 less than the other implies that x=y-3--(2)

Substitute the value of variable x from equation (2) in equation (1).

localid="1647449889617" x+y=15y-3+y=152y=18y=9

Find the value of variable x by using the obtained value of y.

localid="1647449918198" x=y-3x=9-3x=6

Thus, the required ordered pair is (9,6)

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