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If a and b are two positive integers such that a=bq+r , where q and r arr integers , if a<b then find the value of q.

Posted by Yash Singh 6 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 8 months ago

Answer:

< q <

Step-by-step explanation:

First we need to analyze the problem in order to build our equations.

If "a" and "b" are two POSITIVE integers, this means that:

Now, our condition is that:

"q" and "r" being unique integers, also called constant numbers.

Our last condition is that "b" is greater than "a", meaning:

--------------------------------------------------------------------------------------

With this information we can conclude that if:

and

then,

Replacing a on the inequation:

On the other side:

In conclusion, "q" is dependent on "r" and "b".

1Thank You

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