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Chapter 5: Q. 183 (page 644)

The sum of two numbers is fifteen. One number is three less than the other. Find the numbers

Short Answer

Expert verified

Two numbers are 6 and 9

Step by step solution

01

Given Information 

The sum of two numbers is fifteen. One number is three less than the other.

02

Assume variables and frame equations

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

The sum of two numbers is fifteen.

x+y=15

One number is three less than the other.

x=y-3

03

solve the equations

x+y=15x=y-3Replacexinfirstequationy-3+y=152y-3=152y=15+32y=18Divideby2y=9x=y-3x=9-3x=6

Two numbers are 6 and 9

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Most popular questions from this chapter

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

Robert is 15 year years older than his sister, Helen. The sum of their ages is sixty-three. Find their ages.

Solve a System of Equations by Elimination -

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

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