Question

When A is divided by the sum of a certain number and 10, the result is the same as dividing 3 by the sum of that number and 4 . Find the number.​

Answer 1

Answer:

heya! ^^

firstly , let us consider the unknown number to be " x " .

now , According to Question -

When A is divided by the sum of a certain number and 10, the result is the same as dividing 3 by the sum of that number and 4 .

this can help us frame an equation which is as follows -

$\frac{A}{x + 10} = \frac{3}{x + 4}$

let's go further and solve this , so that we obtain a perfect value for x.

$\frac{A}{x + 10} = \frac{3}{x + 4} \\ \\ \dashrightarrow \: on \: cross \: multiplying \: \\ \\ A(x + 4) = 3(x + 10) \\ \\ Ax + 4 A= 3x + 30 \\ \\ lets \: now \: gather \: the \: like \: terms \: together , \\ \\ Ax - 3x = 30 - 4A \\ \\ x(A-3)=30-4A$

$x = \frac{30 - 4A}{A - 3}$

thus the number is $\frac{30-4A}{A-3}$

hope helpful :D

Answer 2

When A is divided: A /

By the sum of a certain number and 10: (n + 10)

When A is divided by the sum of a certain number and 10: A / (n + 10)

The result is the same as: =

Dividing 3: 3 /

By the sum of that number and 4: (n + 4)

The result is the same as dividing 3 by the sum of that number and 4: 3 / (n + 4).

Final Equation: A / (n + 10) = 3 / (n + 4)

To solve, we'll need to cross-multiply. Without knowing the value of A, however, the answer will not be a numerical value.

3(n + 10) = A(n + 4)

3n + 30 = An + 4A

30 - 4A = An - 3n

30 - 4A = n(A - 3)

n = (30 - 4A) / (A - 3)

If you know the value of A, then please plug it in to the value for n given above.

Hope this helps!