Which two digit numbers when added to 27 get reversed? please state the steps also.
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let the digit be 'xy'.
'xy' can be represented as 10x+y.
10x+y+27=10y+x
10x-x+y-10y=-27
9(x-y)=-27
x-y=-3
for x-y=-3,
if x=1 and y=4
if x=2 and y=5
x=3 and y=6
x=4 and y=7
x=5 and y=8
x=6 and y=9
if the number is 14. then 14+27=41
and 25+27=52
and 36+27=63
and 47+27=74
and 58+27=85
and 69+27=96
so the 2 digit numbers are 14,25,36,47,58 and 69.
hope it benefits u.
'xy' can be represented as 10x+y.
10x+y+27=10y+x
10x-x+y-10y=-27
9(x-y)=-27
x-y=-3
for x-y=-3,
if x=1 and y=4
if x=2 and y=5
x=3 and y=6
x=4 and y=7
x=5 and y=8
x=6 and y=9
if the number is 14. then 14+27=41
and 25+27=52
and 36+27=63
and 47+27=74
and 58+27=85
and 69+27=96
so the 2 digit numbers are 14,25,36,47,58 and 69.
hope it benefits u.
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