Question

The product of two successive integral multiples of 5 is 300. Then the numbers are:​

Answer 1

Answer:

The numbers are

1. 15 and 20
2. -15 and -20

Step-by-step explanation:

Lets assume that the first number is x

Then the next number is x+5

Also given

$x \times (x + 5) = 300$

${x}^{2} + 5x - 300 = 0$

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

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

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

$x = - 20 \: and \: x = 15$

the pairs are (-20 and -15) and (15 and 20)