2. The number obtained by reversing a two digit number is 18 more than the original number. If the
sum of its digits is 8, find the number.
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3
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Let the given number by 10x+y
According to given data
10x+y=10y+x+18
9y−9x=18
y−x=2 ………..(1)
and also 10x+y=8 ………(2)
Solving equation (1) & (2) we get
10x+y=8
x−y=−2
__________________
2x=6
[x=3] and [y=5]
Hence the given number is 35.
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