# What two numbers have a sum of 20 and a difference of 6?

A system was introduced to define the numbers present from negative infinity to positive infinity. The system is known as the Number system. The number system is easily represented on a number line and Integers, whole numbers, natural numbers can be all defined on a number line. The number line contains positive numbers, negative numbers, and zero.

An equation is a mathematical statement that connects two algebraic expressions of equal values with ‘=’ sign. For example: In equation 3x+2 = 5, 3x + 2 is the left-hand side expression and 5 is the right-hand side expression connected with the ‘=’ sign.

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There are mainly 3 types of equations:

- Linear Equation
- Quadratic Equation
- Polynomial Equation

Here, we will study about the Linear equations. Linear equations in one variable are equations that are written as ax + b = 0, where a and b are two integers and x is a variable, and there is only one solution. 3x+2=5, for example, is a linear equation with only one variable. As a result, there is only one solution to this equation, which is x = 1. A linear equation in two variables, on the other hand, has two solutions.

A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.

There is just one solution to this equation. Here are a few examples:

- 4x = 8
- 5x + 10 = -20
- 1 + 6x = 11

Linear equations in one variable are written in standard form as:

ax + b = 0Here,

- The numbers ‘a’ and ‘b’ are real.
- Neither ‘a’ nor ‘b’ are equal to zero.

**Solving Linear Equations in One Variable**

The steps for solving an equation with only one variable are as follows:

**Step 1:** If there are any fractions, use LCM to remove them.

**Step 2:** Both sides of the equation should be simplified.

**Step 3:** Remove the variable from the equation.

**Step 4: **Make sure your response is correct.

### What two numbers have a sum of 20 and a difference of 6?

**Solution:**

Let both numbers be first and second.

According to the problem statement:

first + second = 20 (Consider this as 1st equation)first – second = 6 (Consider this as 2nd equation)Add both equations:

first + second + first – second = 20 + 6

2 * first = 26

first = 26 / 2

first = 13So from this we get first = 13, put this value in any equation i.e.

first + second = 20 (Put the value of first in this equation)

13 + second = 20

second = 20 – 13

second = 7

So, the numbers are 13 and 7.If we consider the case i.e. second – first = 6 then the solution will be same and the first number will become 7 and second number will become 13.

**Similar Questions**

**Question 1: The sum of three numbers is 30, and the sum of first two numbers from those three numbers is 19. The task is to find the third number.**

**Solution:**

Let the numbers be first, second and third.

According to the problem statement:

first + second + third = 30 (Consider this as 1st equation)first + second = 19 (Consider this as 2nd equation)So, put the value of 2nd equation in 1st equation i.e.

first + second +third = 30 (Put the value of first+second in this equation)

19 + third = 30

third = 30-19

third = 11

So, the third number is 11.

**Question 2:** **What two numbers have a sum of 34 and a difference of 6?**

**Solution:**

Let both numbers be first and second.According to the problem statement:

first + second = 34 (Consider this as 1st equation)

first – second = 6 (Consider this as 2nd equation)Add both equations:

first + second + first – second = 34 + 6

2 * first = 40

first = 40 / 2

first = 20So, from this we get first = 20, put this value in any equation i.e.

first + second = 34 (Put the value of first in this equation)

20 + second = 34

second = 34 – 20

second = 14

So, the numbers are 20 and 14.If we consider the case i.e. second – first = 6 then the solution will be same and the first number will become 14 and second number will become 20.