Question

how many three digit number which are the multiple of 3 and 4​

Answer 1

450  three digit number are the multiple of 3 and 4​

Step-by-step explanation:

three digit number which are the multiple of 3 and 4​

Three digit numbers starts from 100 & ends with 999

Multiple of 3

102 , 105  , ............................................, 996 , 999

999 = 102 + (n - 1)*3

=> 897 = 3(n-1)

=> 299 = n - 1

=> n = 300

300 numbers multiples of 3

Multiple of 4

100 , 104  , ............................................, 992 , 996

996 = 100 + (n - 1)*4

=> 896 = 4(n-1)

=> 224 = n - 1

=> n = 225

225 numbers multiples of 4

But both have multiples of 12  

Multiples of 12

108 , 120 ,................................................................., 996

996 = 108 + (n-1)12

=> 888 = 12(n-1)

=> 74 = (n - 1)

=> n = 75

three digit number which are the multiple of 3 and 4​ = 300 + 225 - 75

= 450

Learn more:

if n= 10800, then the number of divisors which are multiple of 15 ...

https://brainly.in/question/11098606

Answer 2

write a 3 disi number that is multiple of 3