Math, asked by MAiraS, 11 months ago

I am thinking of a 4 digit number. When i swop the digit in the tens place and the hundreds place , the difference between the 2 numbers is 720. Given that the digit 3 and 2 are in the thousands place and ones place respectively, fund the number.


ssara: the difference between the two unknown digits is 8........................if any other information is given further than the exact digits will come
ssara: please do let me know your response to this
MAiraS: Thnk you . Whats the exact 4 digit num ?
ssara: that's the thing i didn't get .......i just got the differnce between the digits
ssara: I will give the solution to what i got
ssara: 3912 is the answer
MAiraS: How u got it ?
ssara: i have given the solution
ssara: the last equation solving has been done by trial and error

Answers

Answered by ssara
0

ANSWER

3912

STEP BY STEP EXPLAINATION

according to the question the number should be 3xy2

where x and y are the unknown digits.

upon expanding it, and according to the given condition in the question;

(3*1000+x*100+y*10+2)-(3*1000+y*100+x*10+2)=720

100x+10y-100y-10x=720

90x-90y=720

x-y=8

by hit trial method; we find that

x=9

y=1


therefore number=3912

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