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If one-third of one-fourth of a number is 15, then what is the three-tenth of that number?

  • Last Updated : 17 Aug, 2021
Geek Week

A system was introduced to define the numbers present from negative infinity to positive infinity. The system is known as the Number system. Number system is easily represented on a number line and Integers, whole numbers, natural numbers can be all defined on a number line. The number line contains positive numbers, negative numbers, and zero.

An equation is a mathematical statement that connects two algebraic expressions of equal values with ‘=’ sign.
For example: In equation 3x+2 = 5, 3x+ 2 is the left-hand side expression and 5 is the right-hand side expression connected with the ‘=’ sign.

There are mainly 3 types of equations:

  • Linear Equation
  • Quadratic Equation
  • Polynomial Equation

Here, we will study the Linear equations.

Linear equations in one variable are equations that are written as ax + b = 0, where a and b are two integers and x is a variable, and there is only one solution. 3x + 2 = 5, for example, is a linear equation with only one variable. As a result, there is only one solution to this equation, which is x = 3/11. A linear equation in two variables, on the other hand, has two solutions.



A one-variable linear equation is one with a maximum of one variable of order one. The formula is ax + b = 0, using x as the variable.

There is just one solution to this equation. Here are a few examples:

  • 4x = 8
  • 5x + 10 = -20
  • 1 + 6x = 11

Linear equations in one variable are written in standard form as:

ax + b = 0

Here,

  • The numbers ‘a’ and ‘b’ are real.
  • Neither ‘a’ nor ‘b’ are equal to zero.Solving Linear Equations in One Variable

The steps for solving an equation with only one variable are as follows:

Step 1: If there are any fractions, use LCM to remove them.

Step 2: Both sides of the equation should be simplified.



Step 3: Remove the variable from the equation.

Step 4: Make sure your response is correct.

If one-third of one-fourth of a number is 15, then what is the three-tenth of that number?

Solution: 

Let us assume the number is ‘x’.

So, according to the statement given
1/3 * (1/4 * x) = 15
(1/4 * x) = 15 * 3
x / 4 = 45
x = 45*4
x = 180 

So, 3/10 of 180 is 54 i.e. the answer.

Similar Questions

Question 1: If two-third of three-fourth of a number is 10, then what is the one-fourth of that number?

Solution: 

Let us assume the number is ‘x’.

So, according to the statement given
2/3 * ( 3/4 * x ) = 10
3/4  * x  = (10 *3 ) /2
3x / 4 = 15
x = (15 * 4 ) /3
x = 60 / 3 
x = 20



So, 1/4th of 20 is 5 i.e. the answer 

Question 2: If two-third of a number is 14 then what is 1/2th of that number?

Solution: 

Let us assume the number is ‘x’.

So, according to the statement given
2/3 * x = 14
x = (14 * 3) /2 
x = 21

So, 1/2th of 21 is 21/2  i.e. 10.5  the answer 

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