Question

The product of two successive integral multiples of 5 is 300. Determine the multiples.?

Answer 1

hope it help u all
plz mark as brainlist

Answer 2

Multiples are 5x and 5(x + 1), $\bold{5 \times 3=15 \text { and } 5 \times 4=20}$

Solution:

Let the two number or integers be x and y

Now the numbers are a multiple of 5, that means the integers can be taken as 5x and 5y

Therefore, as x and y are successive integers that means y = x + 1

Hence, the product of two integers is: $5 x \times 5(x+1)=300$

$\begin{array}{l}{5 x \times 5(x+1)=300} \\ \\ {25 x^{2}+25 x-300=0}\end{array}$

By solving the equation we get the value of x as 3 & 4  

Substitute value of x = 3 in $\bold{5 x \times 5(x+1)=300}$

If x = 4, the value is not 300.