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Question

If the three digit number 4x11 is divisible by 9, find the value of the digit x.
[4 MARKS]

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Solution

Concept: 2 Marks
Application: 2 Marks

4x11 is divisible by 9

4+x+1+1 is divisible by 9

i.e. 6 + x is divisible by 9

6+x=9 or 18 or 27, .......

i.e. x = 9 - 6 or 18 - 6 or 27 - 6, ...........

= 3 or 12 or 21, ..........

Since, x is a digit, therefore x = 3

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