Question

Without performing actual computations, find the quotient when 94 − 49 is divided by
(i) 9
(ii) 5

Answer 1

\[(i)\text{We know that when } \overline{ab} - \overline{ba} \text{ is divided by 9, the quotient is a - b .} \]

\[\text{Therefore, when (94 - 49) is divided by 9, the quotient is (9 - 4 = 5) . }\]

\[(ii)\text{ We know that when } \overline{ ab }-\overline{ ba } \text{ is divided by (a - b), the quotient is 9 .} \]

\[\text{ Therefore, when  (94 - 49) is divided by (9 - 4 = 5), the quotient is 9 .}\]