Question

the product of two successive multiples of five is 300 .determine the multiples

Answer 1

Hi ,

Let x , ( x + 5 ) are two successive multiples

of 5 .

according to the problem given ,

product of these numbers = 300

x( x + 5 ) = 300

x( x + 5 ) = 15 × 20

x( x + 5 ) = 15( 15 + 5 )

Compare both sides of the equation.

we easily conclude that ,

x = 15 ,

Therefore ,

Required two numbers are ,

x = 15 ,

x + 5 = 15 + 5 = 20

I hope this helps you.

: )

Answer 2

Heya !!!


Let two successive multiply of 5 is ( X) and ( X+5).



According to question,


Product of these numbers = 300



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) = 0 OR ( X -15) = 0



X = -20 OR X = 15


Taking positive Value of X .



X = 15



Hence,


Numbers = X and X+5 = 15 , 20





HOPE IT WILL HELP YOU....... :-)