Mathematies questions(2)

2015-04-14 4:41 am
a 13-12x11/10/9-8x7/6+5-4x3/2+14=
b 7/3-23/15+47/35-79/63+119/99=
c Already know 2000-1997+1994-1991+1988-1985+...+A-B=33 , what is A ?
d A@B=3xB-2xA-8. If D@6is equals to 2 ,what is D?

回答 (1)

2015-04-14 7:23 am
✔ 最佳答案
a) 13-12x11/10/9-8x7/6+5-4x3/2+14=13-22/15-28/3+5-6+14=26-162/15=76/5
b) 7/3-23/15+47/35-79/63+119/99=7/2-7/6-23/6+23/10+47/10-47/14-79/14+79/18+119/18-119/22=7/2-5+7-9+11-119/22=4-42/22=23/11
c) 2000-1997=3;(the first 3)1994-1991=3;(the second 3)1991-1998=3;(the third 3)...therefore, 1970-1967=3;(is the eleventh 3)So, A is 1970.
d) As A@B=3xB-2xA-8, so,D@6=2==> 3x6-2xD-8=2==> 18-2D-8=2==> D=4


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