# without performing actual addition and division write he quotient when the sum of 69 and 96 is divided by 11,15....pls explain answer with all workout,because i couldn't understand from the solution given

Please find below the solution to the asked query:

To find quotient when the sum of 69 and 96 is divided by 11 , 15 , So

We write 69 and 96 as :

69 = 66 + 3 = 11 $\times $ 6 + 3

And

96 = 88 + 8 = 11 $\times $ 8 + 8

Here we can see that 8 + 3 = 11

So,

We can say that sum of 69 and 96 gives " 0 "as quotient after dividing by " 11 " .

And

We write 69 and 96 as :

69 = 60 + 9 = 15 $\times $ 4 + 9

And

96 = 90 + 6 = 15 $\times $ 6 + 6

Here we can see that 9 + 6 = 15

So,

We can say that sum of 69 and 96 gives " 0 "as quotient after dividing by " 15 " .

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