Question

The product of two numbers is 66. The difference of the same two numbers is 19. What are the two numbers.

Answer 1

Answer:

let the numbers be x , y where x>y

Step-by-step explanation:

x×y=66 -------(1)

x-y=19

x=19+y ----- (2)

putting (2) in (1)

(19+y)×y = 66

19y +y²=66

y²+19y-66=0

y²+22y-3y-66=0

y(y+22) -3(y+22)

(y-3)(y+22)

y=3 or y=-22

when y=3

x×3=66

x=22

when y=-22

x× -22=66

x=-3