Question

the sum of digits of a two-digit number is 9.if 27 is subtracted from the number we get a two digit number with the sequence of digits change. find the number

Answer 1

x+y=9,...........eq(1),


10x+y-27=10y+x,

9x-9y=27,

x-y=3,...............eq(2),

now solve these two equations, we have

x=6,

y=3,

therefore

number=10×6+3=63