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Chapter 4: Q 79 (page 404)

The sum of two numbers is

-45. Their difference is -89.

Find the numbers.

Short Answer

Expert verified

The numbers are-67&22.

Step by step solution

01

Step 1. Given

Sum=-45and the difference is-89.

02

Step 2. Calculation

Let the numbers arex&y

Therefore,x+y=-45

and the difference isx-y=-89

Add the two equations,

x+y=-45&x-y=-89x+y+x-y=-45+(-89)2x=-134x=-67

Now put value ofxin any equation and find the value of y.

x+y=-45-67+y=-45y=-45+67y=22

Therefore the numbers are-67&22

03

Step 3. Verification

Verify the equation,

x+y=-45-67+22=-45-45=-45

LHS is equal to RHS

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