Question

"Question 9 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
__________

Class 8 Playing with Numbers Page 256"

Answer 1

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 B = 7,

 7 + 1 = 8

Now A = 4, then 4 + 7 = 11

Put1 at tens place and carry over 1, we get

2 + 4 + 1 = 7

Hence , A = 4 and B = 7

    2 A B
+ A B 1
__________
    B 1 8
__________


   2 4 7
+ 4 7 1
__________
   71 8

__________

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Hope this will help you...