Question

The product of two consecutive positive integers is 306. We need to find the integers.

Answer 1

Let the first integer be a

Second integer = a+1

According to question

a(a+1) = 306

=> a^2 + a - 306 = 0

=> a^2 + 18a - 17a - 306 = 0

=> a (a+18) - 17 (a+18) = 0

=> (a+18)(a-17)= 0

a = - 18 and 17

But the integer that is given in question is positive, So a = 17

First integer = 17

Second integer = 18

Answer 2

Hi,

Please see the attached file!



Thanks