Chapter 4: Q. 74 (page 404)

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

Short Answer

Expert verified

The required numbers are $- 18$ and $2$ .

Step by step solution

Step 1. Given and explanation

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

Assume the numbers to be $x, y$ .

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

One number is $20$ less than the other can be written as $x = y - 20$ .

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

We have two equations, i.e. ,

$x + y = - 16 x = y - 20$

Substituting the value of $x$ in the first equation gives us,

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

Step 3. Finding the value of other variable.

Putting $y = 2$ in

$x + y = - 16$ gives us,

$x + 2 = - 16 x = - 18$

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

Step 4. Check the solution.

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

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

Thus our answers are right.

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

Short Answer

Step by step solution

Step 1. Given and explanation

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

Step 3. Finding the value of other variable.

Step 4. Check the solution.

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

Short Answer

Step by step solution

Step 1. Given and explanation

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

Step 3. Finding the value of other variable.

Step 4. Check the solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Geometry

Probability and Statistics

Calculus

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

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