Question

Two numbers differ by 2 and their product is 360. Find the numbers.

Answer 1

The two numbers are 18 and 20.
Both of them differ by two and even their product is 360.
(20 -18 = 2)  ( 20 x 18 = 360)

Answer 2

let us consider and b are two numbers
given that a-b=2 equation 1
and ab=360
according to
(a+b)^2 - (a-b)^2 = 4ab
substitute above values in above formula
then we get
(a+b)^2 - (2)^2 = 4*360
(a+b)^2 - 4 = 1440
(a+b)^2 = 1440+4 = 1444
a+b = square root(1444)
a+b = 38 equation 2
subtract equation 2 and equation 1
we get 2b= 36
b = 18
then b=18 substitute in equation 2 then a = 38-18 =20
therefore the two numbers are 20 and 10