Ex 16.2, 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.)We know that,
A Number is divisible by 3, if sum of digits is divisible by 3
24x
Sum of digits of 24x = 2 + 4 + x
= 6 + x
Let us check different values of x
& check if number is divisible by 3
Sum of digits = 6 + x
∴ x can be 0, 3, 6 or 9

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.