Question

What 2 numbers when multiplied give you –48 and when you add give you +14?

a) –8 and 6
b) 8 and –6
c) –6 and 8
d) 6 and –8

Answer 1

The correct answer is Option d: 6 and -8. When multiplied, they give -48, and when added, they give +14, satisfying both conditions posed in the question.

Step-by-step explanation:

The student has asked the question: What 2 numbers when multiplied give you –48 and when you add give you +14? We need to find two numbers that, when multiplied together, result in -48 and, when added together, result in +14.

To solve this, we look for two numbers that satisfy both conditions. Considering the multiplication rule that states when the numbers multiplied have opposite signs, the answer has a negative sign, it suggests that one number should be positive and the other negative since the product is -48.

Let's look at the options and apply the addition rule:

1. Option a: –8 and 6. Multiplying gives us -48, but adding them gives us -2, not +14.
2. Option b: 8 and –6. Multiplying gives us -48, and adding them gives us 2, not +14.
3. Option c: –6 and 8. Multiplying gives us -48, and adding them gives us 2, not +14.
4. Option d: 6 and –8. Multiplying gives us -48, and adding them gives us +14. This is the correct option.

Option d satisfies both the multiplication and addition conditions, so the two numbers we are looking for are 6 and -8.