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Sahay Sir > Question Answers > NCERT Class 8 > Maths > Chapter 16 - Playing with Numbers > 3. If 24x is a multiple of 3, where x is a digit, what is the value of x? (Since 24x is a multiple of 3, its sum of digits 6+x is a multiple of 3; so 6+x is one of these numbers: 0, 3, 6, 9, 12, 15, 18, … . But since x is a digit, it can only be that 6+x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values.)

3. If 24x is a multiple of 3, where x is a digit, what is the value of x? (Since 24x is a multiple of 3, its sum of digits 6+x is a multiple of 3; so 6+x is one of these numbers: 0, 3, 6, 9, 12, 15, 18, … . But since x is a digit, it can only be that 6+x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values.)

-12 … . But since x is a digit 15 18 3. If 24x is a multiple of 3 3% 6 9 it can only be that 6+x = 6 or 9 or 12 or 15. Therefore its sum of digits 6+x is a multiple of 3; so 6+x is one of these numbers: 0 what is the value of x? (Since 24x is a multiple of 3 where x is a digit x = 0 or 3 or 6 or 9. Thus x can have any of four different values.)