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QUESTION
Q
If a certain number of two digits is divided by the sum of its digits, the quotient is 6 and the remainder is 3. If the digits are reversed...
Solution
Let the two digits number be = ab
Therefore ab = 10a + b
Sum of the digits = a + b
Therefore,
10a + b = (a + b)6 + 3
10a + b = 6a + 6b + 3
4a − 5b = 3...
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Keynote
A two digit number 'ab' can be written as 10a +b.
Example: 36 = 3(10) + 6
Similarly a three digit number 'abc' can be...
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