Advertisements
Advertisements
Question
Find the values of the letters in the following and give reasons for the steps involved.
A B
x 5
-------
C A B
-------
Advertisements
Solution
The multiplication of B and 5 is giving a number whose ones digit is B again. This is possible when B = 5 or B = 0 only.
In case of B = 5, the product, B × 5 = 5 × 5 = 25
2 will be a carry for the next step.
We have, 5 × A + 2 = CA, which is possible for A = 2 or 7
The multiplication is as follows.
25
x 5
-----
125
-----
75
x 5
----
375
----
If B = 0,
B × 5 = B ⇒ 0 × 5 = 0
There will not be any carry in this step.
In the next step, 5 × A = CA
It can happen only when A = 5 or A = 0
However, A cannot be 0 as AB is a two-digit number.
Hence, A can be 5 only. The multiplication is as follows.
50
x 5
-----
250
-----
Hence, there are 3 possible values of A, B, and C.
(i) 5, 0, and 2 respectively
(ii) 2, 5, and 1 respectively
(iii) 7, 5, and 3 respectively
APPEARS IN
RELATED QUESTIONS
Find the values of the letters in each of the following and give reasons for the steps involved.
3 A
+ 2 5
-------
B 2
-------
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.
1 2 A
+ 6 A B
---------
A 0 9
---------
| A | |
| + | A |
| + | A |
| B | A |
Find the value of the letters in the following question.
A A
+A A
XA Z
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 0 1 B
+ 1 0 A B
B 1 0 8
Find the value of the letters in the following question.
A B
× A B
6 A B
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
What will be 12345679 × 63?
Work out the following multiplication.
12345679
× 9
Use the result to answer the following question.
By what number should 12345679 be multiplied to get 888888888?
