Question

The product of two consecutive integers os 3906 find the integers​

Answer 1

hope it may help you

Answer 2

The first number is "62" and the second is "63". Further explanation is given below.

Explanation:

Let the first consecutive number = x

Let the second consecutive number = (x+1)

According to the question,

First number × Second number = 3960

⇒  (x) × (x+1) = 3960

⇒  x²+x = 3960

⇒  x²+x-3960 = 0

On factorizing the above equation, we get

⇒  x²+63x-62x-3960 = 0

⇒  x(x+63)-62(x+63) = 0

⇒  (x-62) (x+63) = 0

⇒  x-62 = 0

⇒ x = 62

Or,

⇒  x+63 = 0

⇒  x= -63

we will take positive integer, then

First number = x

                       = 62

Second number = x+1

                            = 62+1

                            = 63

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