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Chapter 4: Q 78 (page 404)

The sum of two numbers is

-27. Their difference is -59.

Find the numbers.

Short Answer

Expert verified

The numbers are-43&16.

Step by step solution

01

Step 1. Given

Sum=-27and the difference is-59

02

Step 2. Calculation

Let the numbers arex&y

Therefore,x+y=-27

and the difference isx-y=-59

Add the two equations,

x+y=-27&x-y=-59x+y+x-y=-27+(-59)2x=-86x=-43

Now put value of in any equation and find the value of .

x+y=-27-43+y=-27y=-27+43y=16

Therefore the numbers are-43&16

03

Step 3. Verification

Verify the equation,

x+y=-27-43+16=-27-27=-27

LHS is equal to RHS.

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