Express in mathematics form the sum of four times a number and fourteen times its resiprcol is 15

just translate ....

four times a number --- 4x
fourteen times its reciprocal --- 17(1/x) or 17/x
the sum of ---> +
is 15 ----> = 15

so:
4x + 17/x = 15

How easy was that?

Let's start by assigning a variable to the unknown number. Let's call it "x".

According to the problem, the sum of four times the number and fourteen times its reciprocal is 15.

The first part is "four times the number," which can be represented as 4x.

The second part is "fourteen times its reciprocal," which can be represented as 14 * (1/x) or 14/x.

Now, we can express the problem in mathematical form:

4x + 14/x = 15

This equation represents the sum of four times the number and fourteen times its reciprocal equaling 15.

Let's break down the problem into mathematical expressions.

Let's assume the number we are looking for is 'x'.

According to the problem, "four times a number" can be written as 4x.

Similarly, "fourteen times its reciprocal" can be written as 14(1/x), where 1/x represents the reciprocal of x.

The problem states that the sum of these two expressions is 15. We can write this as:

4x + 14(1/x) = 15

So, the mathematical expression for the given problem is:

4x + 14(1/x) = 15