Question

Find two numbers whose sum is 56 and their product is 783

Answer 1

Hi Mate !!


Let the first no. be x
and second no. be y


• Sum of nos. is 56

x + y = 56

x = 56 - y ...... ( i )

• Product of the nos. is 783

xy = 783 ..... ( ii )


Putting value of x from ( i ) in ( ii )

xy = 783

( 56 - y )y = 783

56y - y² = 783

y² - 56y + 783 = 0

y² - 27y - 29y + 783 = 0

y ( y - 27 ) - 29 ( y - 27 ) = 0

( y - 27 ) ( y - 29 ) = 0


• ( y - 27 ) = 0

y = 27

• ( y - 29 ) = 0

y = 29

Putting value of y as 27 in ( i )

x = 56 - y

x = 56 - 27

x = 29

Putting value of y as 29 in ( ii )

x = 56 - y

x = 56 - 29

x = 27

So, the nos. are 26 and 27 !!