If one-third of a number exceeds its one-fourth by 1, find the number.

Let the required number be x.

∴ (1/3)x − (1/4)x = 1 ⇒ (4x − 3x)/12 = 1

⇒ x/12 = 1 ⇒ (x/12) × 12 = 1 × 12

(Multiplying both sides by 12)

⇒ x = 12

Thus, the required number is 12.