Question

two numbers whose difference is 14 and the product is 120

Answer 1

Answer:

x= 20 , y= 6

Step-by-step explanation:

Let the first no. be x

and the second no.be y

A.T.Q

x - y = 14 ... eq 1

xy = 120 ...eq 2

from eq 1

x= 14+y

Putting the value of x in eq 2

( 14+y) y = 120

=>14y+ y ^2 = 120

=>y^2 + 14y -120 =0

( By middle splitting )

=>y^2 + 20y -6y - 120 =0

=>y ( y + 20 ) - 6 ( y + 20 ) = 0

=>( y- 6 ) ( y + 20 ) = 0

y -6 = 0 or. y + 20 = 0

y = 6. or. y = -20

PUTTING THE VALUE OF Y IN EQ 1

=>x = 14+ 6

=>x = 20