Question

Mufasa reaches the graveyard in time and is able to
save Nala and Simba. After the failed attempt of
the hyenas to kill Simba, Scar pays them a visit at
night and tells them his plan to kill Mufasa and
Simba, telling the hyenas how the kingdom will be
his and they will be able to do as they please after
they both are gone. The hyenas don't trust Scar
and ask him a riddle to test his wits.
On a big rock, Shenzi writes the following
expression.
10-9-8-7-6-5-4-3-2
Shenzi tells Scar that he must insert brackets in
the written expression in such a way that the
resulting number is an integer. The riddle does
not end here. She asks him to determine the
maximal integer value as well as the minimal
integer value of this expression, say A and B.
Find A-B and give the last digit of the sum of digits of that number.​

Answer 1

Given :  expression.

10-9-8-7-6-5-4-3-2

insert brackets in  the written expression

To Find :  determine the  maximal integer value as well as the minimal

integer value of this expression

Solution:

10 - (9 - 8 -7 - 6  - 5 - 4 - 3 - 2)

= 10  - (-26)

= 10 + 26

= 36

A = 36  Maximum Integral Value

10 - ( -9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 )

= 10 - (44)

= -34

B = - 34    Minimum integral Value

A - B =36 - (-34)  

=80  

Sum of Digits

8 + 0  = 8

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