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.