Mathematics
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OpenStudy (anonymous):
How many two digits number are there such that on reversing the digits, the number changes by a multiple of \( 5 \)?
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OpenStudy (anonymous):
9 ?
OpenStudy (anonymous):
How, give examples.
OpenStudy (anonymous):
id say 9 as well after working it out...
they are 15,25,35,45,55,65,75,85.and 95
OpenStudy (anonymous):
you want a multiple of 5 right ? so I guess maybe 51, 52, 53, 54, 55, 56, 57, 58, 59
OpenStudy (king):
no he wants that the number should change by a multiple of 5
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OpenStudy (anonymous):
*number changes by a multiple of 5*
OpenStudy (king):
the diff between original no. and changed no. should be a multiple of 5....rite FFM?
OpenStudy (anonymous):
I am not sure I guess it's of the form \( 10a+b = 5\times k \times 10b+a \), but then there will be only \( 1: 55 \) but I am not sure.
OpenStudy (king):
61?
OpenStudy (king):
61 when u reverse equals 16 so diff. so no. changes by 45 that is a multiple of 5
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OpenStudy (anonymous):
like this many no.s will come, isn't it?
OpenStudy (king):
16 also so till now 16,61
@aadarsh:it is only fr 2 digit nos. read the question
OpenStudy (anonymous):
yeah,
OpenStudy (king):
there wont be many
OpenStudy (king):
27,72
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OpenStudy (anonymous):
27,72
OpenStudy (king):
38,83
OpenStudy (king):
49,94
OpenStudy (anonymous):
Correct
OpenStudy (king):
only 8 numbers FFM
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OpenStudy (anonymous):
yeah, so 4 pairs
OpenStudy (king):
yeah 4 pairs
OpenStudy (anonymous):
ow changes here means difference ?
OpenStudy (king):
yup