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Question

Find the quotient when difference of 985 and 589 is divided by 9.

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Solution

985 can be written as 9 x 100 + 8 x 10 + 5
589 can be written as 5 x 100 + 8 x 10 + 9

Difference = (9 x 100 - 9) + (8 x 10 - 8 x 10) + 5 - 5 x 100
= 9 (100 - 1) + 5 (1 - 100)
= 9 x 99 - 5 x 99
= 99 (9-5)
= 99 x 4
if we divide 99 x 4 by 9 the quotient will be 11 x 4 = 44

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