Question

The product of two successive
multiples of five is 300. Determine
the multiples.

Answer 1

Hey there!

Let one no. be x so another = x+5

A/Q (x)(x+5) = 300

x2+5x=300

x2+5x-300=0

x2+20x-15x-300=0

x(x+20)-15(x+20)=0

(x+20)(x-15)=0

x=-20 and x=15

the no is positive as specified in the question so x=15

x+5 = 15+5 = 20.

So, the two successive multiples of 5 whose product is 300 are 15 and 20.


Hope it helped!☺️

Answer 2

multiples are 15 and 20