Question

the sum of two numbers is 11 and their difference is 5

Answer 1

Answer:

❤️❤️the sum of two numbers is 11 and their difference is 5. If so, you would set up a solution in the following way.

Let x = the larger number

Ley y = the smaller number

x + y = 11

x - y = 5

2x = 16

x = 8

x + y = 11

8 + y = 11

-8 = -8

y = 3❤️❤️

Step-by-step explanation:

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Answer 2

Given:

• The sum of two numbers is 11.
• The difference between the two numbers is 5.

To Find:

• Find the required equation and corresponding values.

Solution:

• Let the first number be denoted by "x" and the second number be denoted by "y"
• From the given data, we can get two different equations.
• The equations are as folows:
• x+y = 11 → (1) and x-y = 5 → (2)
• We need to find values of x and y by solving the above two equations.
• We can solve (1) and (2) using simultaneous addition method.

                  x + y = 11  

                  x - y =  5    

                 ----------------    

                    2x = 16                                                                            

                -----------------

• 2x = 16 ⇒ x = 16/2 ⇒ x = 8
• Substitute the value of "x" in (1) we get,
• 8+y=11 ⇒ y = 11-8 = 3
• x = 8 and y = 3

∴ The value of x and y are 8 and 3 respectively.