Question

For any number included in my family ,three times the sum of its digits equal to that number.27 is included in my family

Answer 1

1. एरिया ऑफ़ ट्रायंगल मराठी चैनल

Answer 2

Given : any number   ,three times the sum of its digits equal to that number

To find : number

Solution:

one Digit can be 0  ( no other 1 Digit number can be 3 times of its own)

Now Let say number is 2 Digit

AB

Sum of Digits =  A + B

Value of AB = 10A + B

10A + B = 3(A + B)

=> 10A + B = 3A + 3B

=>  7A  =  2B

7 & 2  are co prime

Hence A = 2    &  B  =  7

Hence 27 is included in Family

Verification  

2+ 7 = 9 *  3  = 27

Now any number in 3 Digits or more is not possible

as 3 Times of Sum of Digits will be always less than  number

Hence 27 is the only possible Solution

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