3 – 1 = 2, 4 – 2 = 2, 5 – 3 = 2 ⇒ L.C.M. of 3, 4 and 5 is 60 ⇒ Required 3 digit number = 60 × 2 = 120 ⇒ 3 digit number when divided by 3, 4 and 5 leaves remainders 1, 2 and 3 respectively = 120 – 2 = 118 ⇒ The sum of the digits of 118 = 1 + 1 + 8 = 10 ∴ The sum of the digits is 10.