Answer:

8 and 14

Step-by-step explanation:

8 + 14 = 22

8^2 = 64

14^2 = 196

196 + 64 = 250

Step-by-step explanation:

let the numbers be x & y

x+y = 22

x= 22-y

x²+y² = 250

plug value of x in the equation

(22-y)²+y² = 250

484-44y+y²+y²=250

2y²-44y+484-250=0

2y²-44y+234=0

/2

y²-22y+117=0

x²-13y-9y+117=0

x(x-13)-9(x-13)=0

(x-13)(x-9)=0

x=13 OR 9

the numbers are 9 and 13

the product of 9 and 13 is 117

ANSWER: 117