Problema Solution
The sum of the digits of a 2 digit # is 14. The # is formed by reversing the digits is 36 more then the original #. What is the original #
Answer provided by our tutors
let 'xy' represent the two-digit number, then:
x+y = 14
xy can also be represented by "10x + y"
reversing the digits, yx, forms a number that is 36 more than xy:
10y + x = 10x + y + 36
which simplifies to:
x=y-4
we then have this system of equations:
x+y=14
x=y-4
substituting 'x' with 'y-4' in the first equation, we solve for y:
y-4+y=14
2y=18
y=9
now we can solve for x:
x=9-4=5
the original number, xy, is 59