Question

The product of two consecutive positive natural numbers is 20. find the number​

Answer 1

Step-by-step explanation:

let the two consecutive natural no. be x and x+1

Their product = x (x+1) = x²+x

but product is equal to 20 (given)

Therefore

x²+x = 20

x²+x - 20= 0

x²+ 5x -4x - 20 = 0

x(x+5) -4(x + 5) =0

(x+5) (x-4) = 0

x= -5 , x = 4

natural number can't be negative, so we will take

x = 4

thus x +1 = 5

Hence, numbers are 4 and 5