Question

Find a number such that if you add six and divide by three you will get the same answer as if you subtracted four from the original number and divided by two

Answer 1

given in the pic!!

x = 24

Answer 2

The number is 24

Step-by-step explanation:

Let,

The number = x

★ According to the question :

A number such that if you add six and divide by three :

⇒ x + 6

⇒ x + 6 / 3

Get the same answer if subtracted four from the original number and divided by two :

⇒ x - 4

⇒ x - 4 / 2

⇒ $\frac{x \: + \: 6}{3} \: = \: \frac{x \: - \:4 }{2}$

⇒ 2 (x + 6) = 3 (x - 4)

⇒ 2x + 12 = 3x - 12

⇒ 2x - 3x = - 12 - 12

⇒ - x = - 24

⇒ x = 24

Therefore,

The number is 24