Advertisements
Advertisements
Question
Find the values of the letters in the following and give reasons for the steps involved.
A B
+ 3 7
------
6 A
------
Advertisements
Solution
The addition of A and 3 is giving 6. There can be two cases.
1) First step is not producing a carry
In that case, A comes to be 3 as 3 + 3 = 6. Considering the first step in which the addition of B and 7 is giving A (i.e., 3), B should be a number such that the units digit of this addition comes to be 3. It is possible only when B = 6. In this case, A = 6 + 7 = 13. However, A is a single digit number. Hence, it is not possible.
2) First step is producing a carry
In that case, A comes to be 2 as 1 + 2 + 3 = 6. Considering the first step in which the addition of B and 7 is giving A (i.e., 2), B should be a number such that the units digit of this addition comes to be 2. It is possible only when B = 5 and 5 + 7 = 12.
2 5
+ 3 7
-------
6 2
-------
Hence, the values of A and B are 2 and 5 respectively.
APPEARS IN
RELATED QUESTIONS
Find the values of the letters in the following and give reasons for the steps involved
A B
x 3
-------
C A B
-------
Find the values of the letters in the following and give reasons for the steps involved.
A B
x 5
-------
C A B
-------
Find the values of the letters in the following and give reasons for the steps involved.
A 1
+ 1 B
-------
B 0
-------
Find the values of the letters in the following and give reasons for the steps involved.
1 2 A
+ 6 A B
---------
A 0 9
---------
Find the value of the letters in the following question.
C B A
+ C B A
1 A 3 0
Find the value of the letters in the following question.
B A A
+ B A A
3 A 8
Find the value of the letters in the following question.
A B
× A B
6 A B
Find the value of the letters in the following question.
8 A B C
– A B C 5
D 4 8 8
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
What will be 12345679 × 63?
Find the value of the letters in the following:
P Q
× 6
Q Q Q
