Reversing the 2 Digit Numbers and Subtracting Them

Q.

The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?

Q.

Find the difference between the number 45, 271 and that obtained on reversing its digits.

Q.

A sum of ₹500 is in the form of 5-rupee and 10-rupee notes. If the total number of notes is 75, find the number of notes of each type.

Q.

Sonia went to a bank with $Rs.2,000,00$. She asked the cashier to give her $Rs.500$ and $Rs.2000$ currency notes in return. She got $250$ currency notes in total. Find the number of each kind of currency note.

Q. Question 69

If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

Q.

Find the quotient when 73 - 37 is divided by

(i) 9 (ii) 4

Q. If the difference between a two- digit number 'ab' and the new number obtained by reversing its digits is taken as cd, then express cd in terms of a and b.

1. 11(a - b)
2. 9(a - b)
3. 9 (a + b)
4. 11 (a + b)

Q. Question 22

In the given question, fill in the blanks to make the statement true.

The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

Q. The sum of two numbers is 528 and their H .C.F. is 33. The number of pairs of numbers satisfying the above conditions is:

1. 6
2. 4
3. 8
4. 12

Q. The number (ab + ba) is divisible by

1. 11

Q. 37 is subtracted from the number obtained by reversing its digits. The result thus obtained will be exactly divisible by:

1. 9
2. 14
3. 20
4. 30

Q.

Find the quotient when 94 - 49 is divided by

(i) 9 (ii) 5

Q. Question 21

In the given question, fill in the blanks to make the statement true.

The sum of a two-digit number and the number obtained by reversing the digits is always divisible by ___.

Q. $A3-digit$ number $4A3$ is added to another $3-digit$ number $984$ to give four digit number $13B7$, which is divisible by $11$. Find $(A+B)$

Q.

Find three numbers which are in the ratio 2:3:5 and the sum of whose squares is 608

Q. The sum of two numbers ab and ba is divisible by ______.

1. 8
2. 9
3. 10
4. 11

Q. If the difference between- a two digit number AB and the number obtained by reversing its digits ie, BA = CD, then
C + D =

1. 3
2. 11
3. 9

Q.

Sum of the digits of a two digit number is 9.when we interchange the digits, it is found that the resulting new number is greater than the original number by 27.what is the two digit number?

Q. Question 69

If from a two-digit number, we subtract the number formed by reversing its digits then the result so obtained is a perfect cube. How many such numbers are possible? Write all of them.

Q.

In a two digit number, the digit at the ten's place is thrice the digit at the unit's place. If the number obtained by Interchanging the digits is added to the original number, the sum is 44. Find the number.

1. 62

2. 31

3. 22

4. 35

Q.

Difference of a two digit number and the number obtained after reversing the digits is always divisible by:

1. 7

2. 11

3. 13

4. 9

Q. Consider the number 94, reverse its digits and subtract it from the original number. The difference is divisible by

1. 2
2. 9
3. 11
4. 3

Q. The sum of the digits of a two digit number is 15.if the number formed by reversing the digit less then the original number by 27, then find the original number.

Q. Question 22

In the given question, fill in the blanks to make the statement true.

The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ___.

Q. The digit of a two- digit number is differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number?

Q.

Question 66

A three-digits number 2a3 is added to the number 326 to give a three-digits number 5b9 which is divisible by9. Find the value of b - a.

Q.

the sum of three concetive multiples of 8 is 888.find the multiples

Q. Pick a two digit number with distinct digits. Now, reverse the digits. Subtract the smaller number from the larger number. The result will always be the multiple of ____ .

1. 11
2. 12
3. 18
4. 9

Q. Question 9

In the given question, out of four options, only one is correct. Write the correct answer.

If abc is a three-digit number, then number abc - a - b - c is divisible by
(a) 9
(b) 90
(c) 10
(d) 11

Q.

The sum of two twin primes is 60. Find the twin primes.