Question

If sum of two no is 41 and their product is 400 then the number is..

Answer 1

Let the first number be x
Then the second number becomes= 41-x

A.T.Q

(x)(41-x)=400
-x²+41x-400=0
By Quadratic formula

D=b²-4ac
=1681-(4×-1×-400)
=1681-1600
=81
Now , x= -b +√D  ,   -b - √D       
                 2a            2a

x= -41+9    ,   -41-9
       -2              -2

x= -32    ,   -50
      -2         -2
x= 16  ,   x= 25


Hence the numbers are 16 and 25.