Question

6is subtracted from 4times of a number is equal to 3times the same number added to 4 find the number

Answer 1

Answer:

The required number is 10.

Step-by-step-explanation:

Let the number be x.

From the given condition,

4 times the number - 6 = 3 times the number + 4

⇒ 4x - 6 = 3x + 4

⇒ 4x - 3x = 4 + 6

⇒ x = 10

∴ The required number is 10.

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Additional Information:

1. Linear Equations in One Variable:

When an equation has only one variable and degree 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 out 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.

Answer 2

Answer:

Given :-

• 6 is substracted from 4 times of a number is equal to 3 times the same number added to 4.

To Find :-

• What is the number.

Solution :-

Let, the number be x

According to the question,

⇒ 4x - 6 = 3x + 4

⇒ 4x - 3x = 4 + 6

⇒ + x = + 10

➠ x = 10

∴ The number is 10 .

Let's Verify :-

↦ 4x - 6 = 3x + 4

Put x = 10 we get,

↦ 4(10) - 6 = 3(10) + 14

↦ 40 - 6 = 30 + 14

➙ 34 = 34

➦ LHS = RHS

Hence, Verified ✔