Question

Product of two consective multiples of 5 is 300. find
both multiples.​

Answer 1

Answer:

Ans : 15, 20 or -15, -20

Hint :

Let the successive multiples of 5 be 5x and 5(x + 1). Then,

5x.5(x + 1) = 300 ⇒x

2

+ x = 12 ⇒x

2

+ x - 12 = 0

Answer 2

Answer:

let the no.s be 5x and 5(x+1)

given that, 5x*5(x+1) = 300;

or 5x(5x + 5) = 300

or 25x² + 25x = 300

or 25x² + 25x - 300 = 0

Solving the quadratic equation, we get the two roots of equation as follows:

x = 3 or x = -4

as it cannot have negative value, we take x = 3.

so, the multiples are:

5x = 5*3 = 15

and 5(x+ 1) = 5*4 = 20

answer: 15 and 20