# Ex.16.1 Q2 Playing with Numbers Solutions - NCERT Maths Class 8

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## Question

Find the values of the letters in the following and give reasons for the steps involved.

\frac{\begin{align}&4\,\,\,\,\,\,A\\+ \,&9\,\,\,\,\,\,\,8\end{align}}{{\,C\,\,\,B\,\,\,\,\,3}}

Video Solution
Playing With Numbers
Ex 16.1 | Question 2

## Text Solution

What is known?

What is unknown?

Value of alphabets i.e. $$A, B$$ and $$C.$$

Reasoning:

Each letter in the puzzle must stand for just one digit. Each digit must be represented by just one letter.

Steps:

The addition of $$A$$ and $$8$$ is giving $$3$$ i.e., a number whose ones digit is $$3.$$ This is possible only when digit $$A$$ is $$5.$$ In that case, the addition of $$A$$ and $$8$$ will give $$13$$ and thus, $$1$$ will be the carry for the next step. In the next step,

$$1 + 4 + 9 = 14$$

Therefore, the addition is as follows.

\frac{\begin{align}&4\,\,\,\,5\\+ \,&9\,\,\,8\end{align}}{{14\,\,\,\,3}}

Clearly, $$B$$ and $$C$$ are $$4$$ and $$1$$ respectively.

Hence, $$A,$$ $$B,$$ and $$C$$ are $$5,\, 4,$$ and $$1$$ respectively.

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