Question

the product of two number is 24506.88 if one of the number is 46.4 find the other number​

Answer 1

Answer:

528.16

Step-by-step explanation:

Here, it has been given to us that the product of two numbers is 24506.88 and one of the numbers is 46.4. We've been asked to calculate the other number.

To make the concept super easy, we just need to frame a linear equation in order tackle this question.

― According to the question,

• Product of two numbers = 24506.88
• One number = 46.4

Let us suppose the another number as x. Now, as per the question,

$\longrightarrow \sf{\quad {Product = 24506.88 }}$

Substitute the numerical values and the variable.

$\longrightarrow \sf{\quad {46.4 \times x = 24506.88 }}$

Now, we'll transpose 46.4 from LHS to RHS to find the value of x. Here, its arithmetic operator will changed when we'll transpose it to maintain the balance of the equation.

$\longrightarrow \sf{\quad {x = \dfrac{24506.88}{46.4} }}$

As there are two digits after the decimal point in numerator, so we'll multiply 100 in the denominator and as there is one digit after the decimal point in the denominator, so we'll multiply 10 in the numerator to remove the decimal point.

$\longrightarrow \sf{\quad {x = \dfrac{2450688 \times 10}{464\times 100} }}$

Now, preforming the multiplication in numerator and the denominator.

$\longrightarrow \sf{\quad {x = \dfrac{24506880}{46400} }}$

Cancelling the zeroes.

$\longrightarrow \sf{\quad {x = \cancel{\dfrac{2450688}{4640}} }}$

Reducing it to the lowest terms and dividing the terms.

$\longrightarrow \quad\underline{\boxed {\pmb{\mathfrak{x = 528.16}} }}$

Therefore, the another number is 528.16.

Answer 2

Answer:

528.16

Step-by-step explanation:

Here, it has been given to us that the product of two numbers is 24506.88 and one of the numbers is 46.4. We've been asked to calculate the other number.

To make the concept super easy, we just need to frame a linear equation in order tackle this question.

― According to the question,

Product of two numbers = 24506.88

One number = 46.4

Let us suppose the another number as x. Now, as per the question,

$\longrightarrow \sf{\quad {Product = 24506.88 }}$

Substitute the numerical values and the variable.

$\longrightarrow \sf{\quad {46.4 \times x = 24506.88 }}$

Now, we'll transpose 46.4 from LHS to RHS to find the value of x. Here, its arithmetic operator will changed when we'll transpose it to maintain the balance of the equation.

$\longrightarrow \sf{\quad {x = \dfrac{24506.88}{46.4} }}$

As there are two digits after the decimal point in numerator, so we'll multiply 100 in the denominator and as there is one digit after the decimal point in the denominator, so we'll multiply 10 in the numerator to remove the decimal point.

$\longrightarrow \sf{\quad {x = \dfrac{2450688 \times 10}{464\times 100} }}$

Now, preforming the multiplication in numerator and the denominator.

$\longrightarrow \sf{\quad {x = \dfrac{24506880}{46400} }}$

Cancelling the zeroes.

$\longrightarrow \sf{\quad {x = \cancel{\dfrac{2450688}{4640}} }}$

Reducing it to the lowest terms and dividing the terms.

$\longrightarrow \quad\underline{\boxed {\pmb{\mathfrak{x = 528.16}} }}$

Therefore, the another number is 528.16.

#Nish√