1 x 35 is divisible by 9 if x = _______.Fill in the blank to make the statement true

Solution:

A number is divisible by 9 if the sum of all its digits add upto 9 or multiple of 9

Since

1x35 is divisible by 9

1 + x + 3 + 5 = 9 or number divisible by 9

x = 9 - 1 - 3 - 5

x = 0

Also,

1 + x + 3 + 5 = 18

x = 9

Therefore x = 0 and x = 9

The number is 1035 or 1935

✦ Try This: 2x48 is divisible by 9 if x = _______.

A number is divisible by 9 if the sum of all its digits add upto 9 or multiple of 9

Since

2x48 is divisible by 9

2 + x + 4 + 8 = 9

x = 9 - 2 - 4 - 8

x = -5 which is not possible

Therefore the next possibility is

2 + x + 4 + 8 = 18

x = 18 - 2 - 4 - 8 = 4

x = 4

If the sum of digits is taken as 27 then x will be a two digit number which is unacceptable

Hence x = 4

And the number is 2448

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

NCERT Exemplar Class 8 Maths Chapter 13 Problem 27

Summary:

1 x 35 is divisible by 9 if x = 0.

☛ Related Questions: