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Question
Without performing actual computations, find the quotient when 94 − 49 is divided by
(i) 9
(ii) 5
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Solution
\[(i)\text{We know that when } \overline{ab} - \overline{ba} \text{ is divided by 9, the quotient is a - b .} \]
\[\text{Therefore, when (94 - 49) is divided by 9, the quotient is (9 - 4 = 5) . }\]
\[(ii)\text{ We know that when } \overline{ ab }-\overline{ ba } \text{ is divided by (a - b), the quotient is 9 .} \]
\[\text{ Therefore, when (94 - 49) is divided by (9 - 4 = 5), the quotient is 9 .}\]
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