Question

if a number is increased by 3 times the original number equals to 6 times the number decreased by 24 find the original number​

Answer 1

Answer :

The original number = 12

Explanation :

According to the condition :

Let the original number / number be ' x '

• Increased 3 times = 3 + x
• Increased from the original number = x + 3x
• 6 times decreased = 6x
• Decreased by 24 = 6x - 24

According to the question :

⇛x + 3x = 6x - 24

⇛4x = 6x - 24

⇛6x - 4x = 24

⇛2x = 24

⇛x = 24 / 2

⇛x = 12

Verification :

➤ Substituting values :

⇛x + 3x = 6x - 24

⇛12 + 3 ( 12 ) = 6 ( 12 ) - 24

⇛12 + 36 = 72 - 24

⇛48 = 48

➤ Hence proved !

So, It's Done !!

Answer 2

Answer :

›»› The original number = 12

Given :

• A number is increased by 3 times the original number equals to 6 times the number decreased by 24.

To Find :

• Tur original number = ?

Required Solution :

Here in this question, we have to find the original number. So, firstly we have to consider the original number as an variable be x. Then, we can frame equation to get the result of original number or x$.$

Let ,

The original number be "x"

In the above question, we are provided that a number is increased by 3 times the original number equals to 6 times the number decreased by 24, which means x + 3x = 6x - 24

• x + 3x = 6x - 24
• Original number (x) = ?

So let's start solving the equation and understand the steps to get our final result for x.

⇛ x + 3x = 6x - 24

Calculate between similar terms,

⇛ 4x = 6x - 24

Move the variable to left-hand side and change the symbol,

⇛ 4x - 6x = -24

Calculate between similar terms,

⇛ -2x = -24

Change the sign of both sides of the equation,

⇛ 2x = 24

Divide both side by the same number,

⇛ x = 12

║Hence, the Original number is 12.║

Verification :

››› x + 3x = 6x - 24

Put the value of x into x + 3x = 6x - 24

››› 12 + 3 × 12 = 6 × 12 - 24

››› 12 + 36 = 72 -24

››› 48 = 72 -24

››› 48 = 48

Here, LHS = RHS

Hence Verified !