Question

The sum of square of two numbers is 68 and square of the difference of them is 36. Then multiplication

value of the two is ??

Answer 1

Let x and y are two numbers.

x^2+y^2=68………………….(1)

(x-y)^2=36……………………….(2)

x^2+y^2–2x.y=36 , put x^2+ y^2=68 fromeq.(1)

68–2x.y=36

-2x.y=36–68

-2x.y= -32

x.y=32/2=16 , Answer

Answer 2

Let the numbers be X and Y.

A / q ,

X ^ 2 + Y ^ 2 = 68

X ^ 2 - Y ^ 2 = 36

adding these --

2X ^ 2 = 104

X ^ 2 = 104 / 2 = 52

X ^ 2 = 52

X = 7.2

52 - Y ^ 2 = 36

Y ^ 2 = 52 - 36

Y ^ 2 = 16

Y = 4
X * Y. = 7.2 * 4 = 28.8