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Chapter 4: Q 75 (page 404)

The sum of two number is

-26. One number is 12less than

the other. Find the numbers.

Short Answer

Expert verified

The numbers are-7and-19

Step by step solution

01

Step 1. Given information

Sum =-26and one number is 12less than other.

02

Step 2. Calculation

Let the numbers are x&y

Then x+y=-26and role="math" localid="1644381520247" y=12-x

Now, find the value of y and put in the first equation and simplify them.

role="math" localid="1644381539282" y=12-xx-y=-26x-(12-x)=-26x+x-12=-262x=-26+122x=-14x=-7

Now, put value of xin any equation and solve for the value of y

x+y=-26-7+y=-26y=-26+7y=-19

Therefore the numbers are-7&-19

03

Step 3. Verification

Put values in the equation to verify,

x+y=-26-7+(-19)=-26-7-19=-26-26=-26

LHS is equal to RHS.

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