SOLUTION: A certain number has two digits whose sum is 14. If the digits are reversed, the number will be decreased by 18. Find the number.

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Question 807976: A certain number has two digits whose sum is 14. If the digits are reversed, the number will be decreased by 18. Find the number.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the digits be x & y x in the ten's place
x+y=14........................(1)
10y+x=10x+y-18
9y-9x=18
/9
x-y=2..........................(2)
add (1) & (2)
2x=16
x=8
x+y=14
x=8
so y=6
the number is 86