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Chapter 2: Q. 2.32 (page 117)

The sum of two numbers is negative eighteen. One number is forty more than the other. Find the numbers.

Short Answer

Expert verified

11and(-29)are the numbers.

Step by step solution

01

Step 1. Assume the numbers

Let the numbers are 'a'and'b'.

02

Step 2. Form the first equation.

Since, "Sum of two numbers is-18"

Equation for the statement will be,

a+b=-18

b=-18-a

03

Step 3. Form the second equation.

Second statement is, "One number is 40more than the other".

a=b+40
04

Step 4. Substitute the value of 'a' and'b',

a=(-18-a)+40

a=-a+22

a+a=-a+22+a

2a=22

05

Step 5. Divide both the sides of the equation by 2,

2a2=222

a=11

06

Step 6. Substitute the value of a to get the numbers.

a=11

role="math" localid="1644182850259" b=-18-11

b=-29

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