Question

the number N is the largest positive integer for which 4N is a 3 digit number and M is the smallest positive integer for which 4 m is a three digit number what is the value of n-m​

Answer 1

Given:

N is the largest positive integer for which 4N is a 3-digit number

M is the smallest positive integer for which 4 m is a 3-digit number

To find:

The value of N-M.

Solution:

If N is to be considered as the largest number then 4N will be the largest 3-digit multiple of 4

• 4N = 996
• N = 249

If M is to be considered as the smallest number then 4M will be the smallest 3-digit multiple of 4

• 4M = 100
• M = 25

So,

the value of N-M is given by:

• 249 - 25
• 224

So the required answer is 224

Answer 2

ANSWER IS 224

Step-by-step explanation:

Now here N is the largest positive integer so 4n will be the largest 3 digit multiple of 4 . So , starting from 999 which is not a multiple of 4 , 998 this is not too , 997 not this one , 996 this is a multiple of 4 .

So if 4N=996 then N=996/4=249

And now M is the smallest positive integer for which 4m is the smallest 3 digit multiple of 4 . Then , the smallest 3 digit number is 100 which is divisible by 4 .

So , if 4M=100 then M=100/4=25

THEN ,

N-M=

249-25

224 .

Arigato...