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Chapter 5: Q. 5.64 (page 623)

The sum of the two numbers is -15. Their difference is-35. Find the numbers.

Short Answer

Expert verified

The numbers are-25and10.

Step by step solution

01

Step 1. Given Information

The sum of the two numbers=-15

Their difference of numbers=-35

02

Step 2. Write the equations 

Let the numbers arexandy

So using given data,

x+y=-15x-y=-35

03

Step 3. find the numbers 

Add both equations

x+y=-15x-y=-352x=-50x=-502x=-25

Find y

x+y=-15-25+y=-15y=-15+25y=10

04

Step 4. Verify the solution 

x+y=-15鈬�-25+10=-15-15=-15truex-y=-35鈬�-25-10=-35-35=-35true

Both equations are true.

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