Find the values of the letters in the following and give reasons for the steps involved.
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.
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
Thus, the value of the letter A is 6.