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.

Guest Apr 17, 2015

#1**+10 **

Best Answer

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 :)

Melody
Apr 17, 2015