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.