Question

The sum of the digits of a two digit number is 5 if the digits are reversed the number is reduced by 27 find the number

Answer 1

A two digit number can be represented
as 10x+y.for example, if the number is 27
x=2 and y=7
27=10×2 +7
.so in the given question, sum of dufit is 5 , that is x+y=5.......(1)
if the digits are reversed then the number is 10y+x.
given that
(10x+y)-(10y+x)=27
9x-9y=27
9(x-y)=27
x-y=3.......(2)
adding (1) and (2)
2x=8
x=4
y=5-x=5-4=1.
the number is 41.