The sum of the digits of a 2-digit number is 9. By interchanging the places of the digits, the
mumber reduces by 63. Find the original number.
A number consists of two digits, of which the tens digit exceeds the ones digit by 3. The number
itself is equal to seven times the sum of the digits. Find the number.
The ratio of the tens digit to the ones digit of a 2-digit number is 2:3. If 27 is added to the
number, the digits interchange their places. Find the number.
A certain number between 10 and 100 is 4 times the sum of its digits and if 18 is added to it, the
digits will be reversed. Find the number.
TS OF DIVISIBILITY
e previous classes, we have learnt to test the divisibility of a number by 2,3,4,5,6,7,8,9,10,11, and
Now, in this chapter, we shall analyse the divisibility rules for the numbers written in a generalised
Let abe be a 3-digit number formed by the three digits a, b, and c. Then, the generalised form of the
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