NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.1

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.1, are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.1.

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.1

Question 1.
Find the values of the letters in each of the following and give reasons for the steps involved.
ch 16.1 1ch 16.1 2

Solution.
1.
Here, there are two letters A and B whose values are to be found out.
Let us see the sum in unit’s column. It is A + 5 and we get 2 from this. So,
ch 16.1 3
That is, A = 7 and B = 6.

2.
Here, there are three letters A, B and C whose values are to be found out.
Let us see the sum in unit’s column. It is A + 8 and we get 3 from this. So A has to be 5
ch 16.1 4
That is, A = 5, B = 4 and C = 1.

3.
ch 16.1 5
ch 16.1 6

4.
Here, there are two letters A and B whose values are to be found out.
ch 16.1 7

5.
Here, there are three letters A, B and C whose values are to be found out.
ch 16.1 8
∵ Unit’s digit of 3 x A is A. So, it is essential that A = 0 or 5.
Since C cannot be 0, therefore A = 5.
Hence, we get
ch 16.1 9
∴ A = 5, B = 0 and C = 1

6.
Here, there are three letters A, B and C, whose values are to be found out.
ch 16.1 10
ch 16.1 11

7.
Here, there are two letters A and B whose values are to be found out. We have
ch 16.1 12

8.
Here, there are two letters A and B whose values are to be found out.
ch 16.1 13

9.
ch 16.1 14
ch 16.1 15

10.
ch 16.1 16

 

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