Question

The sum of two numbers is 31 and the product is 150

Answer 1

Answer:

let x,y be the numbers

x+y=31

xy=150

x=150/y

150/y+y=31

150+y^2=31y

y^2-31y+150=0

y^2-6y-25y+150=0

y(y-6)-25(y-6)=0

(y-6)(y-25)=0

y=6,25

Answer 2

Answer:

Let the numbers be = a,b

a + b = 31

a = 31 - b ... (i)

ab = 150 ... (ii)

(i) in (ii):

=> 31b - b^2 - 150 = 0

=> b^2 - 31b + 150 = 0

=> b = 6, 25

a = 31 - b

a = 25, 6

Numbers = 6 and 25