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Without performing actual addition and division, write the quotient when the sum of 69 and 96 is divided by
(i) 11
(ii) 15
Given:
69 and 96
To do:
We have to write without performing actual addition and division , the quotient when the sum of 69 and 96 is divided by
(i) 11
(ii) 15
Solution:
(i) We know that when $ab+ba$ is divided by 11 then the quotient is $(a+b)$.
The digits of the given numbers 69 and 96 are reversed.
Here,
$a = 6, b = 9$
If $69 + 96$ is divided by 11, then the quotient is,
$a + b = 6 + 9$
$= 15$
(ii) We know that when $ab+ba$ is divided by $(a+b)$ then the quotient is 11.
The digits of the given numbers 69 and 96 are reversed.
Here,
$a = 6, b = 9$
$a+b=6+9=15$
If $69 + 96$ is divided by $15$, then the quotient is 11.
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