Question

the product of two consecutive natural numbers is 42 find the numbers​

Answer 1

Answer:

6,7

Step-by-step explanation:

the product of 6 and 7 is 42

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Answer 2

Let the two consecutive natural numbers be x

and (x + 1)

From the given condition,we have

x (x + 1) = 42

⇒ x² + x = 42

⇒x²+ x - 42 = 0

⇒ x² + 7x - 6x - 42 = 0

⇒ x (x + 7) - 6 (x + 7) = 0

⇒ (x-6) (x + 7) = 0

⇒x - 6 = 0 or x + 7 = 0

⇒ x = 6 or x = -7 [Since-7 is not a natural number]

So, x = 6 and x + 1 = 6 + 1 = 7.

Hence, the numbers are 6 and 7.