Question

1 subtracted from one-third of a number gives 1. Find the number.

Answer 1

Let the number be x

Then, one-third of the number = `1/3`x

According to the question,

`1/3 x` – 1 = 1

⇒ `1/3 x` = 1 + 1  ......[Transposing (–1) to RHS]

⇒ `1/3x` = 2

⇒ x = 3 × 2   ......[Multiplying both sides by 3]

⇒ x = 6

Hence, the required number is 6.