"Question 10 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
__________
Class 8 Playing with Numbers Page 256"
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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
+ 6 A B
__________
A 0 9
__________
1 2 8
+ 6 81
__________
8 0 9
__________
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Hope this will help you
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Answer:
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