What multiplies to 30 and adds up to 11?

Answer 1

41

Answer 2

Use a system of equations to solve.

xy = 30

x+y = 11

Use substitution to solve for y.

x = 11-y

(11-y) * y = 30

11y-y^2=30

y^2-11y+30=0

We can factorize this quadratic easily, by testing different values:

(y-6)(y-5)=0

y=6, 5

Substituting these y values back into x=11-y,

y=6 when x=5: y=5 when x=6

Answer 3

To find two numbers that multiply to 30 and add up to 11, we can set up a system of equations. Let the two numbers be x and y. We have xy = 30 and x + y = 11. By solving these equations simultaneously, we can find that the two numbers are 5 and 6. So, 5 multiplied by 6 equals 30, and 5 plus 6 equals 11.

Answer 4

Well, honey, the dynamic duo you're looking for is 5 and 6. They may not be Batman and Robin, but they sure know how to multiply to 30 and add up to 11. So, there you have it, math problem solved!