Question

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

Answer 1

The main numbers are two successive multiples of 5.

Product of these multiples is 300.

To find,

The value of those multiples.

Solution,

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 >> (-15x20) = -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.

Answer 2

Answer:

$\huge{\boxed{\rm{\pink{answer=15 and20}}}}$

Step-by-step explanation:

Given:-

The product of two successive multiples of 5 is 300.

To find:-

What are the values of these multiples?

Solution:-

Let the two successive multiples of 5 are 5x and 5x+5.

Their product =(5x)(5x+5)

But according to the given problem

Their product=300

=>(5x)(5x+5)=300

=>25x²+25x=300

=>25(x²+x)=300

=>x²+x=300/25

=>x²+x=12

=>x²+x-12=0

=>x²+4x-3x-12=0

=>x(x+4)-3(x+4)=0

=>(x+4)(x-3)=0

=>x+4=0 or x-3=0

=>x=-4 and x=3

taking positive value of x

x=3

now 5x=5×3=15

5x=5×3=155x+5=15+5=20

Answer:-

The required successive multiples of 5 are 15 and 20

Used concept:-

Multiples of 5 are in the form of 5n.

they are 5n,5n+5,5n+10,....