If the average of two positive integers is 11 and their product is 40, what is their sum?

Question

F. 24

G.22

H.10

J.8

K.None of the above

Answer 1

Step 1: Write an equation to know what you're looking for

(x+y)/2=11 (average)

(x)(y)=40 (product)

Step 2: Find the factors of 40

1x40

2x20

4x10

5x8

1,2,4,5,8,10,20,40

Step 3: Insert values from the factors list to make the equation above true

(2+20)/2=11

(22)/2=11

11=11

(2)(20)=40

40=40

Since the values 2 and 20 satisfy both equations above, the last step is to add the 2 integers together.

2+20=22 (sum)

The answer is 22.