The sum of the digits of a two-digit number is 14. If the number represented by reversing the digits is subtracted from the original number, the result is 18. What is the original number?

Question

amistre64 · Answer

x+y = 14

(10x+y) - (10y+x) = 18

anonymous · Answer

Ah I see, I was writing it completely wrong

amistre64 · Answer

or .. (7+x)+(7-x) = 14

10(7+x)+(7-x) -10(7-x)-(7+x) = 18

:)

anonymous · Answer

9x - 9y = 18?

amistre64 · Answer

if you wanna go that rout, then that good so far

amistre64 · Answer

multiply the first eq by 9 and add them together

amistre64 · Answer

or divide out the 9 from that .... either way

anonymous · Answer

thanks, i got the correct answer

amistre64 · Answer

yay!! ... was it 86?

anonymous · Answer

yep!