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 addition 

• The addition of A and B is giving 9 i.e., a number whose ones digits is 9. The sum can be 9 only as the sum of two single-digit numbers cannot be 19. Therefore, there will not be any carry in this step.
• In the next step, 2 + A = 0. It is possible only when A = 8, i.e., 2 + 8 = 10 and 1 will be the carry for the next step.
• In the next step, 1 + 1 + 6 = A. Thus, A = 8
• Clearly, A is 8. We know that the addition of A and B is giving 9. As A is 8, therefore, B is 1.

Therefore, the addition is as follows:

Hence, the values of A and B are 8 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. 12A + 6AB = A09

Class 8 Maths NCERT Solutions Chapter 16 Exercise 16.1 Question 10

Summary:

The values of the letters A and B are 8 and 1 respectively.

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