Question

What two numbers multiply to equal 50 and add up to equal -15

Answer 1

The two numbers that multiply to equal 50 and add up to -15 are -5 and -10.

Step-by-step explanation:

We are looking for two numbers which multiply to equal 50 and add up to equal -15. Let's set the two numbers we're looking for as x and y. From the problem, we can set up two equations:

• x * y = 50
• x + y = -15

Since we know that when two negative numbers multiply, the result is positive and when they add up, the result is also negative, both x and y need to be negative.

So we can list the factors of 50 that are negative:

• -1 and -50
• -2 and -25
• -5 and -10

Now, finding the pair that adds up to -15, we see that -5 and -10 fit both criteria:

• -5 * -10 = 50 (Multiplication)
• -5 + -10 = -15 (Addition)

Answer 2

The two numbers are 5,10. Which is multiply to equal 50 and add up to equal 15.

Step-by-step explanation:

Step:1

Let, X,Y.

Where X, Y are two numbers.

Step:2

Form the Multiplication equation from given,

X×Y=50 (∵ Multiply to equal 50)

Step:3

Form Addition equation from given,

X+Y= 15 (∵ Add equal to 15)

Step:4

Check for alternatives to satisfy both equations

Assume, X=1, Y=14

1+14=15 (Satisfy addition equation)

1×14=14 (Not satisfy multiplication equation)

Assume, X=2, Y=13

2+13=15 (Satisfy addition equation)

2×13=26 (Not satisfy multiplication equation)

similarly.,

assume X=5, Y=10

5+10=15 (Satisfy addition equation)

5×10=50 (Satisfy multiplication equation)

So, the two numbers are 5,10.