Question

The product of two consecutive number is 72. Find the numbers.​

Answer 1

Answer:

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Step-by-step explanation:

Let the two consecutive natural numbers be x and (x+1)

From the given condition, we have

x(x+1)=72

⇒x

2

+x=72

⇒x

2

+x−72=0

⇒x

2

+9x−8x−72=0

⇒x(x+9)−8(x+9)=0

⇒(x−8)(x+9)=0

⇒x−8=0 or x+9=0

⇒x=8 or x=−9

∵−9 is not a natural number.

So, x=8 and x+1=8+1=9.

Hence, the numbers are 8 and 9.