83.6k views
1 vote
The sum of 237 and six times the opposite of a number is 405. what is the number?

a. -28
b. -24
c. 30
d. 32

2 Answers

6 votes

Answer:

The answer is A.) -28

Explanation:

Let x = the number

237 + (-6x) = 405

237 - 6x = 405

-6x = 168

x = -28

User Rae Lee
by
7.7k points
4 votes
The number is 28.

The equation would be:

237 + 6(x) = 405

The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.

237 + 6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28

To check:

237 + 6 (28) = 405
237 + 168 = 405
405 = 405
User Simon Epskamp
by
7.8k points

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