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

**Solution:**

Each letter in the given puzzle must stand for just one digit.

The operation performed here is multiplication.

- The multiplication of 3 and B gives a number whose one’s digit is B again. Hence, B must be 0 or 5.
- Let B be 5. Multiplication of the first step = 3 × 5 = 15, 1 will be a carry for the next step. We have, 3 × A + 1 = CA. This is not possible for any value of A.
- Hence, B must be 0 only. If B = 0, then there will be no carry for the next step. We should obtain, 3 × A = CA That is, the one’s digit of 3 × A should be A. This is possible when A = 5 or 0.
- However, A cannot be 0 as AB is a two-digit number. Therefore, A must be 5 only.

The multiplication is as follows.

Hence, the values of A, B, and C are 5, 0, and 1 respectively.

**☛ Check: **NCERT Solutions for Class 8 Maths Chapter 16

**Video Solution:**

## Find the values of the letters in the following and give reasons for the steps involved. AB × 3 = CAB

Class 8 Maths NCERT Solutions Chapter 16 Exercise 16.1 Question 5

**Summary:**

The values of the letters A, B, and C are 5, 0, and 1 respectively.

**☛ Related Questions:**

- Find the values of the letters in the following and give reasons for the steps involved. A B × 5 = C A B
- Find the values of the letters in the following and give reasons for the steps involved. A B × 6 = B B B.
- Find the values of the letters in the following and give reasons for the steps involved. A 1 + 1 B = B 0.
- 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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