Question

Find two numbers whose sum is 18 who’s difference is 22

Answer 1

To find two numbers whose sum is 18 and whose difference is 22, we can set up a system of equations and solve for the unknown variables.

Step-by-step explanation:

To find two numbers whose sum is 18 and whose difference is 22, we can set up a system of equations.

Let's call the two numbers x and y.

We have the following equations:

1. x + y = 18
2. x - y = 22

We can solve this system of equations by elimination or substitution. Using substitution, we can solve the second equation for x and substitute it into the first equation:

1. x = 22 + y
2. (22 + y) + y = 18
3. 2y + 22 = 18
4. 2y = 18 - 22
5. 2y = -4
6. y = -2

Now that we have the value of y, we can substitute it back into the first equation to find x:

1. x + (-2) = 18
2. x = 18 + 2
3. x = 20

Therefore, the two numbers are 20 and -2.

Answer 2

The Answer is: The first number is 20 and the second number is -2.

Step-by-step explanation:

Let f = first number and s = second number.

The sum is 18:

f + s = 18

Solve for s:

s = 18 - f

The difference is 22:

f - s = 22

Substitute:

f - (18 - f) = 22

f - 18 + f = 22

2f = 22 + 18

2f = 40

f = 20, the first number.

Solve for s:

s = 18 - f

s = 18 - 20 = -2, the second number.

Proof:

20 + (-2) = 18

20 - 2 = 18

18 = 18

Then:

f - s = 22

20 - (-2) = 22

20 + 2 = 22

22 = 22

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