Write an equation expressing each fact. When the digits of a three-digit number is reversed, the new number is 198 less than the original number.
2007-04-30 11:07:59 · 3 answers · asked by kikayrakista 1 in Science & Mathematics ➔ Mathematics
Let the original number be xyz.
Let the new number be zyx.
Since the second one is less by 198, the equation is:
xyz - zyx = 198
2007-04-30 11:12:36 · answer #1 · answered by Sci Fi Insomniac 6 · 0⤊ 0⤋
Let 100z +10y+x be the original number.
The number you get by reversing the digits is
100z +10y+x and your equation is
100z +10y+x + 198 = 100x +10y+z.
or
99(z-x) + 198=0,
which gives us
x-z = 2.
2007-04-30 18:19:20 · answer #2 · answered by steiner1745 7 · 0⤊ 0⤋
abc=original number
cab=new number
abc - 198= cab
2007-04-30 18:15:48 · answer #3 · answered by BrOokLyN 4 · 1⤊ 0⤋