A line over expressions

a , b , c , d , e , f , g a n d h a r e d i s t i n c t d i g i t s . F i n d max ( a b c d e f g h ) a,b,c,d,e,f,g\quad and\quad h\quad are\quad distinct \quad digits.\\ Find\quad \max { \left( \overline { abcd } -\overline { efgh } \right) }


The answer is 8853.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Satyendra Kumar
Oct 11, 2014

Here a b c d , e f g h abcd,efgh are numbers and not the products of a , b , c , d , e , f , g , h a,b,c,d,e,f,g,h For satisfying the condition given in the question we need to max. out a b c d abcd and minimize e f g h . efgh. For maxing out a b c d abcd we need its digits to be the maximum from 1 9. 1---9. Thus a b c d = 9876 abcd=9876 and for minimizing e f g h efgh we need its digits to be the least but we can't take e = 0 e=0 because then e f g h efgh wouldn't be a 4-digit number.Thus, e = 1 e=1 and f = 0 , g = 2 , h = 3 f=0,g=2,h=3 Thus,max. difference = 9876 1023 = 8853. =9876-1023=8853. BTW this is a highly overrated question.

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...