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Chapter 3: Q. 345 (page 405)

One number is nine less than another. Their sum is negative twenty-seven. Find the numbers.

Short Answer

Expert verified

If one number is nine less than another. Their sum is negative twenty-seven then the numbers are -9&-18.

Step by step solution

01

Step 1. Given information  

The second number is nine less than the first number.

The sum of the first number and the second number is negative twenty-seven.

02

Step 2. Solution 

Consider the first number is n

One number is nine less than another.

so the second number is n-9

The sum of the first number and the second number is -27

localid="1647199414829" n+(n-9)=-272n-9=-272n=-18n=-9

So the first number is-9

The second number is

localid="1647199448374" n-9=-9-9=-18

So numbers arelocalid="1647199467873" -9&-18.

03

Step 3. Verification  

-18is 9less than -9.

-18=-9-9-18=-18

The left-hand side is equal to the right-hand side

The sum of the -9and -18is -27

(-9)+(-18)=?-27-9-18=?-27-27=-27

The left-hand side is equal to the right-hand side

So our answer is correct the numbers are -9&-18.

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