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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 A and A gives a number whose one’s digit is A again. Hence, A must be 1 or 6.
- Let A be 1. Therefore, A × A = 1×1 = 1≠9. So, the value of A cannot be 1.
- Hence, A must be 6 only. For A = 6, we get A × A = 6 × 6 = 36 and 3 will be a carry for the next step.
- Therefore, A × 1 = 6 × 1 + 3(Carried on) = 9

Hence, the value of A = 6.

**☛ 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. 1A × A = 9A

Class 8 Maths NCERT Solutions Chapter 16 Exercise 16.1 Question 3

**Summary:**

Thus, the value of the letter A is 6.

**☛ Related Questions:**

- Find the values of the letters in the following and give reasons for the steps involved. A B + 3 7 = 6 A
- Find the values of the letters in the following and give reasons for the steps involved. A B × 3 = C A B
- 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.

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