Question

the product of two positive number is 2400 one of them is six times the other find the number​

Answer 1

Answer:

• let, the first number=x
• second number=6x(because one of them is six times of other)
• Now,
• product of two numbers=2400
• x(6x)=2400
• 6x^2=2400
• x^2=2400/6
• x^2=400
• x=√400
• x=20
• 6x=6x20=120
• so first number=20
• And second number=120

Answer 2

As per the data given in the question,

We have to determine the two number, whose product is 2400 one of them is six times the other.

Let the first number is $=x$

So, next number will be $=(6\times first\:number) = (6\times x ) = 6x$

As per question,

It is given that,

The product of both the numbers is 2400.

So, we can write it as,

$6x\times x = 2400\\=> 6x^2 = 6400\\=>x^2 = \frac{2400}{6}\\=>x^2 = 400\\=>x = {\sqrt{400}}\\=> x = 20$

Hence, the first number will be 20.

So, second number will be $=6x = (6\times 20) = 120$