What multiplies to 30 and adds up to 11?

Answer 1

41

Answer 2

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 3

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