Question

The product of two numbers is 1875 and one of the numbers when divided by the other yields the quotient 3/25 Find the numbers.​

Answer 1

Step-by-step explanation:

The product of two number is 1875 .

one number is= 3/25 .

one number is = 1875×3/25=225 .

the another number is 225

Answer 2

Both the numbers are 125 and 15.

Given:-

Product of two numbers = 1875

The quotient obtained = 3/25

To Find:-

Both the numbers.

Solution:-

We can easily calculate both numbers by using the following methods.

Let the two numbers be x and y.

So, Product = 1875

x*y = 1875

x = 1875/y

And,

quotient = 3/25

$\frac{x}{y} = \frac{3}{25}$

$\frac{ \frac{1875}{y} }{y} = \frac{3}{25}$

$\frac{1875}{ {y}^{2} } = \frac{3}{25}$

$3 {y}^{2} = 1875 \times 25$

$3 {y}^{2} = 46875$

${y}^{2} = \frac{46875}{3}$

${y}^{2} = 15625$

$y = \sqrt{15625}$

$y = 125$

Now,

$x = \frac{1875}{y}$

$x = \frac{1875}{125}$

$x = 15$

Hence, both the numbers are 125 and 15.

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