write the quotient when the sum of a two digits number 23 and number o...
The digit is 23
And if we reverse it , it becomes 32
Then we add it so it will be 23+32=55
Then divide it by 11
so the answer is 55/11=5
write the quotient when the sum of a two digits number 23 and number o...
Quotient when the sum of a two-digit number 23 and the number obtained by reversing the digit is divided by 11:
To find the quotient when the sum of a two-digit number and the number obtained by reversing the digits is divided by 11, we need to follow the steps mentioned below:
Step 1: Understand the problem
We are given a two-digit number, let's say AB, where A represents the tens digit and B represents the units digit. We need to find the quotient when the sum of AB and BA (where BA is the number obtained by reversing the digits of AB) is divided by 11.
Step 2: Express the given information in mathematical terms
The given two-digit number can be expressed as AB = 10A + B.
The number obtained by reversing the digits can be expressed as BA = 10B + A.
Step 3: Find the sum of AB and BA
The sum of AB and BA can be calculated as:
AB + BA = (10A + B) + (10B + A)
= 11A + 11B
= 11(A + B)
Step 4: Divide the sum by 11
To find the quotient, we divide the sum by 11:
Quotient = (11(A + B)) / 11
= A + B
Step 5: Interpret the results
The quotient when the sum of a two-digit number and the number obtained by reversing the digits is divided by 11 is equal to the sum of the tens digit (A) and the units digit (B) of the given two-digit number.
Example:
Let's take a two-digit number, say 36.
A = 3 (tens digit)
B = 6 (units digit)
We need to find the quotient when the sum of 36 and 63 (reversed digit) is divided by 11.
36 + 63 = 99
Quotient = (11(3 + 6))/11
= 9
Therefore, the quotient is 9 when the sum of the two-digit number 36 and its reverse 63 is divided by 11.
To make sure you are not studying endlessly, EduRev has designed Class 8 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 8.