# 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

Dear Student,

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 $×$ 6   + 3

And

96 = 88 + 8 = 11 $×$ 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 $×$ 4   + 9

And

96 = 90 + 6 = 15 $×$ 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 " .

Hope this information will clear your doubts about Playing with Numbers .

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