Question

let's find a number such that one third of the number is one less than half of the number

Answer 1

Answer:

The required number is 6.

Step-by-step-explanation:

Let the number be x.

From the given condition,

One third of the number = Half of the number - 1

$\sf\:\dfrac{x}{3}\:=\:\dfrac{x}{2}\:-\:1\\\\\\\implies\sf\:\dfrac{x}{3}\:=\:\dfrac{x\:-\:2}{2}\\\\\\\implies\sf\:2x\:=\:3\:(\:x\:-\:2\:)\\\\\\\implies\sf\:2x\:=\:3x\:-\:6\\\\\\\implies\sf\:3x\:-\:2x\:=\:6\\\\\\\implies\boxed{\red{\sf\:x\:=\:6}}$

The required number is 6.

Additional Information:

1. Linear Equations in One Variable:

When a equation having only one variable and degree with 1, it is called as Linear equation in one variable.

2. Solution of Linear Equation in One Variable:

The value of the variable used in the equation when put up in the equation, then LHS becomes equal to RHS, this value of variable is called as solution of Linear equation in one variable.

3. Steps to solve problems based on Linear Equation in one Variable:

1. Understand the given information in the question and convert it into Mathematical form using a suitable variable.

2. According to given condition in the question, solve the equation for the value of variable.

3. Write the answer in words with the value of variable as per the question is asked.