Question

the product of two successive integral multiples of 5 is 300 determine the multiples

Answer 1

let be successive no. are x and x+1 .

5x( 5x+1 ) = 300

25x^2 + 5x - 300 = 0
5(5x^2 + x -60) = 0
5x^2 + x - 60 = 0

Answer 2

Hey,
Thanks for asking this question.

Lets suppose that first multiple = P

So second successive integral multiple of 5 is P+5.

But according to question,

P × (P+5) = 300
=> P×P + 5P = 300
=> P×P + 5P - 300 = 0
=> P×P + 20P - 15P -300 = 0
=> (P+20) (P-15) = 0
=> P = -20 OR P= 15.


•IF ONE MULTIPLE IS -20, THEN OTHER MULTIPLE IS -15.

•IF ONE MULTIPLE IS 15, THEN OTHER MULTIPLE IS 20.


●Hope my answer helped