2. The sum of digits of a two-digit number is 15. The original number is reversed. The reserved number is greator than original number by 9 . Find the original number.
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Step-by-step explanation:
let the original number be 10x+y.
x+y=15...(i)
10y+x=9+10x+y
9y-9x=9....(÷9)
y-x=1
or simply
x-y=-1...(ii)
by adding equation i and ii
2x=14
x=14/2
x=7
substituting value of x in equation (ii)
7-y=-1
y=7+1
y=8
original number=10x+y
=10*7 +8
=78
Hence..the original number is 78..
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