Question

The sum of two numbers is -316. One number is 94 less than the other. Find the numbers.

Answer 1

Answer:

One number is -111 and the other is -205.

Step-by-step explanation:

First, form the equation. Since the two numbers equal -316, the equation would equal -316. The equation is as follows:

-316 = n + (n - 94).

To solve you do the following steps:

1. Remove the parenthesis. The new equation is -316 = n + n - 94

2. Combine like terms: -316 = 2n - 94

3. Move the 2n to the left side of the equation by subtracting it from both sides:

-316 = 2n - 94

-2n    -2n

-2n - 316 = -94

4. Move the -316 to the right side of the equation by adding it to both sides:

-2n - 316 = -9

     + 316   + 316

-2n = 222

5. Divide both sides by - 2

-2n/ -2 = n

222/-2 = -111

Therefore, n = -111

To get the other number, subtract 94 from -111.

-111 - 94 = -205.

Answer 2

The numbers are -205  and -111.

Given that,

• The sum of two numbers is -316.
• One number is 94 less than the other.
• Here we assume the other number be x and the one number be x - 94.

Based on the above information, the calculation is as follows:

x + x - 94 = -316

2x - 94 = -316

2x = -316 + 94

2x = -222

x = -111

So, the other number should be

= -111 - 94

= -205

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