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 B and 1 is giving 8 i.e., a number whose one’s digits is 8. This is possible only when digit B is 7. In that case, the addition of B and 1 will give 8.
• In the next step, A + B = 1. Clearly, A is 4 as B is 7 i.e., 4 + 7 = 11 and 1 will be a carry for the next step.
• In the next step, 1 + 2 + A = B i.e., 1+ 2 + 4 = 7

Therefore, the addition is as follows:

Hence, the values of A and B are 4 and 7 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. 2AB + AB1 = B18

Class 8 Maths NCERT Solutions Chapter 16 Exercise 16.1 Question 9

Summary:

The values of the letters A and B are 4 and 7 respectively.

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