Question

Two-third of a number is greater than one-third of the number by 3. Find the number.

Answer 1

Let the number be x.

Then, two-third of this number = `2/3x` and one-third of this number = `1/3x`.

According to the question,

`2/3 x = 1/3 x + 3`

⇒ `2/3x - 1/3 x = 3`

⇒ `(2x - x)/3 = 3`  ...[Taking LCM on LHS]

⇒ `x/3 = 3`

⇒ `x/3 xx 3 = 3 xx 3`  ...[Multiplying both sides by 3]

⇒ x = 9

Hence, the required number is 9.