# Let ab be a two-digit number, then ab + ba is divisible by 9

**Solution: **

The generalised form of ab, ba can be written as follows:

(i) ab = 10a + b

(ii) ba = 10b + a

Adding (i) and (ii) we have

11a + 11b

= 11(a + b)

Hence the sum of numbers ab and ba is divisible by 11.

Therefore if ab be a two-digit number, then ab + ba is divisible by 9 is a False(F) statement.

**✦ Try This:** Let ab be a two-digit number, then ab - ba is divisible by 9.

The generalised form of ab, ba can be written as follows:

(i) ab = 10a + b

(ii) ba = 10b + a

Subtracting (ii) from (i) we have

9a - 9b

= 9(a - b)

Hence the difference of numbers ab and ba is divisible by 9.

Therefore if ab be a two-digit number, then ab + ba is divisible by 9 is a True(T) statement.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 16

**NCERT Exemplar Class 8 Maths Chapter 13 Sample Problem 8**

## Let ab be a two-digit number, then ab + ba is divisible by 9

**Summary:**

If ab be a two-digit number, then ab + ba is divisible by 9 is a false statement.

**☛ Related Questions:**

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