Math, asked by virajitha, 9 months ago

The Case of the Missing Digit

A friend of mine asked me to write down any multidigit number.

But, he put a condition, the number should not end with a zero.

I put down the number 96452

Then he asked me to add up the five digits and subtract the total

from the original number.

I did and here is what I got :

96452 – 26 = 96426

He then asked me to cross out any one of the five digits and tell him

the remaining numbers. I crossed out the 2 and told him the rest of

the digits. I neither told him the original number nor what I had

done with it. Yet ‘pop’ he told me the exact number I had crossed

out.

How do you explain it ?
pls i need fast pls pls pls​

Answers

Answered by amitnrw
2

Given :   write down 5 digit number.    add up the five digits and subtract the total . cross out any one of the five digits and tell him the remaining numbers from the original number.

To find :  Missing Digit / Cross out  Digit

Solution:

Let say 5 Digit number = ABCDE

Value =10000A + 1000B + 100C  + 10D  + E

Sum of Digits = A + B + C + D + E

Number after Subtracting sum of Digits

Digit = 10000A + 1000B + 100C  + 10D  + E - (A + B + C + D + E)

= 9999A + 999B  + 99C  +  9 D

= 9(1111A  + 111B + 11C  + D)

Resultant number is Divisible by 9

a number is Divisible by  9   if Sum of Digits is Divisible by 9

Person told him  Digits  9 , 6 , 4 & 6   and missing Digit = X

Sum = 9 + 6 + 4 + 6 + X

= 25 + X

25 + X should be divisible by 9

hence X  = 2

So he was able to tell the number you crossed

Learn more:

Find the missing digit, if the number 7254*98 is divisible by 22.995 + ...

https://brainly.in/question/10724667

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