Check sibling questions

Ex 16.2, 3 - If 24x is a multiple of 3, what is the value of x?

Ex 16.2, 3 - Chapter 16 Class 8 Playing with Numbers - Part 2

This video is only available for Teachoo black users

Solve all your doubts with Teachoo Black (new monthly pack available now!)


Transcript

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

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.