Question

The product of 2 successive integral multilples of 5 is 300. Determine the multiples.​

Answer 1

Answer:

Step-by-step explanation:

Let the two successive integral multiples of 5 be x and x+5 .

    according to the question,

                x(x+5) =300

                $x^{2}$+5 x =300

                $x^{2}$ +5 x -300=0

                $x^{2}$+20 x - 15 x -300=0

                x(x+20) -15 (x+20)=0

                 (x-15)(x+20)=0

Now ,

1) x-15 = 0  

  x=15

2) x+20=0

    x=-20

As x cannot be negative

      x=15

and x+5=15+5    

      x=20

Thus our required answers are 15 and 20.