the sum of the digits of a two digits number is 5. the digits are interchanged, when 27 is added to it. find the number.
this is a neat little simultaneous equation question :))
Let the number be 10a+b so it will look like ab
a+b=5 (1)
10a+b+27=10b+a
9a+27=9b
a+3=b
a-b=-3 (2)
(1)+(2)
2a=2
a=1
b=1+3=4
So the original number is 14
checking:
14+27=41 that is good
1+4=5 that is good too :)