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Chapter 4: Q. 74 (page 404)

The sum of two number is -16. One number is 20less than the other. Find the numbers.

Short Answer

Expert verified

The required numbers are-18and2.

Step by step solution

01

Step 1. Given and explanation  

There are two numbers whose sum is -16and one number is 20less than the other.

Assume the numbers to be x,y.

Their sum, i.e., -16can be written as x+y=-16.

One number is 20less than the other can be written asx=y-20.

02

Step 2. Finding the value of first variable by substitution.  

We have two equations, i.e. ,

x+y=-16x=y-20

Substituting the value of xin the first equation gives us,

localid="1644337298991" (y-20)+y=-162y=-16+202y=4y=2

03

Step 3. Finding the value of other variable. 

Putting y=2in

x+y=-16gives us,

x+2=-16x=-18

This shows that the two numbers are-18&2.

04

Step 4. Check the solution.

We will check the answer by putting in both the equations. If the equations satisfy, our answers are right.

  1. First equation is
    x+y=-16-18+2=-16-16=-16
    Hence satisfied.
  2. Second equation is
    x=y-20-18=2-20-18=-18
    Hence satisfied.

Thus our answers are right.

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