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
__________
Answers
Given :
1 2 A
+ 6 A B
__________
A 0 9
__________
Concept :
Numbers can be written in general form. Hence, a two digit number ab will be written as ab = 10a + b.
The general form of numbers is helpful in solving puzzles or number games.
Rules to be followed while solving the puzzles:
1.Each letter in the puzzle must stand for just one digit. Each digit must be represented by just one letter.
2. The first digit of a number cannot be zero.
Solution
Put A = 8 & B = 1, we get
8 + 1 = 9
Now again we add 2 + 8 = 10
Tens place digit is ‘0’ and carry over 1.
Now 1 + 6 + 1 = 8 = A
1 2 A
+ 6 A B
__________
A 0 9
__________
1 2 8
+ 6 81
__________
8 0 9
__________
Hence, the values of the letter A is 8 & B is 1.
Hope this answer will help you….
Some more questions related to this chapter :
Find the values of the letters in the following and give reasons for the steps involved.
2 A B
+ A B 1
__________
B 1 8
__________
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Find the values of the letter in the following and give reasons for the steps involved.
A B
x 5
__________
C A B
__________
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Step-by-step explanation:
Numbers can be written in general form. Hence, a two digit number ab will be written as ab = 10a + b.
The general form of numbers is helpful in solving puzzles or number games.
Rules to be followed while solving the puzzles:. Each letter in the puzzle must stand for just one digit. Each digit must be represented by just one letter. 2. The first digit of a number cannot be zero.
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Solution
Put A = 8 & B = 1, we get
8 + 1 = 9
Now again we add 2 + 8 = 10
Tens place digit is ‘0’ and carry over 1.
Now 1 + 6 + 1 = 8 = A
Hence, A = 8 and B = 1
1 2 A
+ 6 A B
__________
A 0 9
__________
1 2 8
+ 6 81
__________
8 0 9