Math, asked by мααɴѕí, 19 days ago

Mathematics

Q - Think of any three-digit number in which all the digits are the same say, 222, 444 Add the digits of the number. Divide the chosen number by the sum of the added digits. You will get the answer as 37.
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Answers

Answered by AиgєℓíᴄAυяσяα
72

Step-by-step explanation:

Let us explore this with number 999

  • Sum of the digits of the number 999= 9+9+9 = 27
  • Divide the number by the sum of its digits : 999/27 = 37

Verify the above trick by considering another 3 digit number

Now ,

let us take the number as aaa

  • Sum of the digits of the number aaa is a+a+a = 3a
  • Divide the number by the sum of its digits : aaa/a+a+a = a×(111)/a+a+a = a× (37×3)/3×a = 37

Hence , the result will always be 37

Answered by AnanyaRose
16

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