Question

Think of a 3-digit number whose digits are the same, for example 333, 555. Divide the 3-digit number
by the sum of its digits. Your answer will be 37 for any such 3-digit numbers. Find out the trick behind it
Hint: Take the number as aaa and write it in the generalised form.​

Answer 1

Sᴏʟᴜᴛɪᴏɴ :-

Let us Assume that the 3-digit number whose digits are the same are in the form of aaa, where each digit at hundred place, ten's place and unit place is equal to a.

So,

→ aaa = 100*a + 10*a + a = 100a + 10a + a = 111a

And,

→ sum of digits = a + a + a = 3a

Now, Divide the 3-digit number by the sum of its digits.

→ 111a/3a

→ 37 .

Hence, we can conclude that, if we divide any 3-digit number whose digits are the same with sum of digits, we will get our answer as 37.

Example :- Take a = 1,2,3,4,5,6,7,8,9 and check

→ a = 1

check :- 111/(1+1+1) = 111/3 = 37

→ a = 2

check :- 222/(2+2+2) = 222/6 = 37.

→ a = 3

check :- 333/(3+3+3) = 333/9 = 37 .

→ a = 8

check :- 888/(8+8+8) = 888/24 = 37.

→ a = 9

check :- 999/(9+9+9) = 999/27 = 37.

Answer 2

yo sweetie

yah that crackhead wasn't letting me answer you anyway so im gonna convince my mom to let me stay dont be tense pls