If 45 is added to half a number, the result is triple the number. Find the number.

Question

Philoid · Accepted Answer

Let x be the number. Then, half of the number is

According to the question,

⇒

⇒ x + 90 = 6x

⇒ 90 = 6x – x

⇒ 90 = 5x

⇒ [divide both side by 5]

⇒ x = 18.

Hence, the number is 18.