Question

I'm a four digit number, I am an even number, 3 l am not divisible by 2nd and 4th multiples of 2, 4 I have no odd digits, Tam less than one-fourth of 12000, 6 My tens digit is twice of thousands digit, My ones digit is half of twice of thousands digit, The difference of the numbers formed by my first two digits and last two digits is 18, I am I am​

Answer 1

Given :  a four digit even number, less than one-fourth of 12010,  tens digit is twice of  thousands digit,  ones digitis half of twice of  thousands digit . The difference of the numbers  formed by my first two digits   and last two digits is 18

To find : Number

Solution:

I am a four digit number

ABCD

Less than (1/4)(12010) <  3002.5 => ≤ 3002

tens digit is twice of  

thousands digit,

C = 2A     A can be 2 , 4    & C Can be  4  &  8    ( as no odd digits used )

A Can not be  4    as number  ≤ 3002

Hence only possibility of A & C

A  = 2   & C = 4

Number Becomes  

2B4D

ones digit is half of twice of  thousands digit

=> ones digit same as thousand Digit  ((1/2) * 2 * 2 = 2 )

=> 2B42

numbers  formed by my first two digits = 22

42 - 18  = 24   => B = 4

2442  

2442 is the Number

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