Question

The product of two successive multiples of 5 is 300. What are the values of these multiples? ​

Answer 1

Answer:

Given,

The main numbers are two successive multiples of 5.

Product of these multiples is 300.

To find,

The value of those multiples.

Step-by-step explanation:

Let, the first multiple = x

So, the second multiple will be = x+5

(Because, they are successive multiples of 5, so the common difference between them will be 5.)

According to the data mentioned in the question,

x × (x+5) = 300

x²+5x = 300

x²+5x-300 = 0

(x-15) (x+20) = 0 (Splitting "b" is such two parts that the multiplication of those two parts will produce the exact numerical value of "c", ie. b = 5 = 20-15 >> (-15×20) = -300)

So,

x-15 = 0

x = 15

And,

x+20 = 0

x = -20

Now, the -20 value of x doesn't satisfy the given equation. So, the value of x must be 15.

First multiple = 15

Second multiple = 15+5 = 20

Hence, the multiples are 15 and 20