Question

2 numbers have a sum of -89 and a difference of +55. What are the numbers? (please provide an explanation as well)

Answer 1

Answer:

Sum of two numbers is 55: x+y = 55

Difference is 9: x-y=9

From the second equation x=9+y (substitute that into the first equation to solve for y).

9+y+y=55

 

2y=46

y=23. (Substitute that back into the second equation to find x.)

x=9+y = 23+9 = 32.

23+32 = 55 (Check).

Hope the solution helped. Sometimes you need more than a solution.

Step-by-step explanation:Let the first number be n

Let the second number be n - 9

n + n - 9 = (n + n) - 9 = 2n - 9

2n - 9 = 55

Add 9 to each side of the equation.

2n - 9 + 9 = 55 + 9

Combine like terms:

-9 + 9 = 0

55 + 9 = 64

 

2n = 64

Divide each side by 2

2n/2 = 64/2

n = 32

n - 9 = 32 - 9 = 23

The first number is 23 and

The second number is 32.

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