Question

.If the sum two numbers is 18 and their difference is 12, then the two numbers are

Answer 1

Step-by-step explanation:

The sum of two numbers is 18 and their difference is 12. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 18. In other words, x plus y equals 18 and can be written as equation A:

x + y = 18

The difference between x and y is 12. In other words, x minus y equals 12 and can be written as equation B:

x - y = 12

Now solve equation B for x to get the revised equation B:

x - y = 12

x = 12 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 18

12 + y + y = 18

12 + 2y = 18

2y = 6

y = 3

Now we know y is 3. Which means that we can substitute y for 3 in equation A and solve for x:

x + y = 18

x + 3 = 18

X = 15

Summary: The sum of two numbers is 18 and their difference is 12. What are the two numbers? Answer: 15 and 3 as proven here:

Sum: 15 + 3 = 18

Difference: 15 - 3 = 12

Answer 2

Given :

The sum of two numbers is 18

The difference of two numbers is 12

To Find :

Find the two numbers ?

Solution :

Let the first number be x

The second number be x - 12

According to the question :

Sum of the two numbers = 18

➣ x + (x - 12) = 18

➣ x + x - 12 = 18

➣ 2x - 12 = 18

➣ 2x = 18 + 12

➣ 2x = 30

➣ x = 30/2

➣ x = 15

Therefore,

First Number = x

First Number = 15

Second Number = x - 12

Second Number = 15 - 12

Second Number = 3

Hence,

The two numbers are 15 and 3.