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OpenStudy (sashi786):
a person calculated the average of 10"three digit number ".but due to mistake he reversed the digits of a number and thus his average increased by 29.7 the difference between the unit digit and hundreds digit of that number is?? Plz anybody help me out with this qns
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OpenStudy (amistre64):
hmm, im thinking of something like this to compare with \[\frac{K+a(100)+b(10)+c}{10}=M+29.7\] \[\frac{K+a+b(10)+c(100)}{10}=M\]
OpenStudy (amistre64):
since b(10) does not change, it can be absorbed into the K with no effect and you are left with a and c to play with
OpenStudy (amistre64):
\[100a + c = 10M + 297 - K\] \[100a + c-297 = 10M - K\] \[a + 100c = 10M - K\] .... \[100a+c-297=a + 100c\]
OpenStudy (amistre64):
\[99a-297=99c\] \[99a-99c=297\] \[99(a-c)=297\] looks to be something along those lines
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