Mathematics is quite interesting subject, here we study the topics – number theory, algebra, geometry, etc. To be honest, it doesn’t have an accepted definition. Mathematicians use patterns to formulate new conjectures, resolve the truth or falsity of math problems by mathematical proof.

Table of Contents

In the following article, we are going to solve a mathematical problem. In our daily life, we always need to take help with math. For example, You are going to purchase something from the market, you have 100 dollars and the product you are willing to purchase is 50 dollars, the shopkeepers will return you 50 dollars if you give him your 100 dollars bill. In this case, we used subtraction.

You are reading the article maybe you are a student who is looking to solve the math for your exam or you are here to learn.

## 1:x = x:64. What one number can replace x?

So, if you look at the equation, if 1:x = x:64, then the value of the x will be 8. The value can be positive or negative.

How to Do it?

### Way: 01

Let’s take the equation: 1:x = x:64.

=> 1/x = x/64

Now after cross multiply, we get

=> x^2 = 64

Now if we pass the ^2 on the right side we get,

=> x = √64

=> x = +8 or -8

So the value of x is +8 or -8 and we can say, 1:x = x:64 , either +8 or -8 can replace x.

### Way: 02

1:x = x:64

Now, by passing the letter on the left side, we get

x^2 = 64

Now if we pass the ^2 on the right side we get,

=> x = √64

=> x = +8 or -8

So the value of x is +8 or -8

## What is Ratio?

The ratio is used to compare values. For example, if we have 4 boxes, no matter what color it is now. Now assume that 3 boxes are yellow and 1 is blue. So, if we now use the ratio to describe it, it will be 3:1. We need to use “:” while writing the ratio to separate the value. If you don’t want to write “:” you can use words to overcome it. For example 3 to 1. If you still don’t want to write words, then the last thing we can use is a fraction. For example 3/1.

## Using Ratios

In ratios, we need to always multiply or divide the numbers by the same value.

Example: 4: 5 is the same as 4×3: 5×3 = 12: 14

## What is Colon?

The colon is a symbol – “:” and known as a punctual mark consisting of two dots placed one above the other one on the same vertical line.

In math, we use it in different ways. To denote ratio or odds, to give a name to map, to assign condition, before list, etc.

Related Math:

## 2:x = x:50. what one number can replace x?

This math equation also follows the same method we have discussed at the start of the article.

Let’s Take the equation: 2:x = x:50

=> 2/x = x/50

Now after cross multiply, we get

=> x^2 = 100

Now if we pass the ^2 on the right side we get,

=> x = √100

=> x = +10 or -10

So the value of x is +10 or -10 and we can say, 2:x = x:50, either +10 or -10 can replace x.