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The two numbers are

Both of them differ by two and even their product is 360.

(20 -18 = 2) ( 20 x 18 = 360)

**18**and**20**.Both of them differ by two and even their product is 360.

(20 -18 = 2) ( 20 x 18 = 360)

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