Question

The product of two consecutive positive integers in 306. we need to find the integers.​

Answer 1

Answer:

The answer is 102

Step-by-step explanation:

Let the number be X

so according to the question-

x×2+x=306

=2x+x=306

=3x=306

=X=306/3

=102

Answer 2

Step-by-step explanation:

Let integers be n and (n+1)

n(n+1)=306

n^2 +n −306 =0

n^2 +18n - 17n - 306 =0

n(n+18) -17(n+18) = 0

(n-17)(n+18)

=> n=17 or n=-18

As,the question has told us the number has to be positive

So, n=-18 is not possible.

Therefore, n=17 and n+1=18 and integers are 17 and 18.

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