#### Question

Without performing actual addition and division write the quotient when the sum of 69 and 96 is divided by

(i) 11

(ii) 15

#### Solution

(i) Clearly, 69 and 96 are two numbers such that one can be obtained be reversing the digits of the other. Therefore, when the sum of 69 and 96 is divided by 11, we get 15 (sum of the digits) as quotient.

(ii) Clearly, 69 and 96 are two numbers such that one can be obtained be reversing the digits of the other. Therefore, when the sum of 69 and 96 is divided by 15 (sum of the digits), we obtain 11 as quotient.

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Solution Without Performing Actual Addition and Division Write the Quotient When the Sum of 69 and 96 is Divided By (I) 11 (Ii) 15 Concept: Games with Numbers.