Let the total number of students before joining rstudents = x. ⇒ After joining new 120 students = x +120 Now, by condition, x × 40 + 120 × 32 = (x + 120) × 36 ⇒ 40 x + 3840 = 36 × 4320 ⇒ 4x = 480 ∴ x = 120 ∴ Total number of students = x + 120 = 120 + 120 = 2