Math, asked by avisingh67, 1 year ago

there are 7 truck and 40 drum we want to put 40 drum in 7 truck in odd number


Anonymous: Nope didn't get

Answers

Answered by VemugantiRahul
0
40 drums has to be placed in 7 trucks.

Which means answer needs expressing 40 as sum of 7 odd no.s, which is impossible.
Due to the fact that odd no. multiplied by odd always gives odd
i.e., odd*odd= odd
7*(odd no. of drums in truck)= [odd]
but there are 40 drums, which is even

so,It is impossible.

===========<<<>>>============
proof for odd*odd= odd:

Consider 2 odd no.s
say (2m+ 1) and (2n+1)
(2m+1)(2n+1)= 4mn+2+2m+2n
= 2(mn+m+1)+1
= 2(K)+ 1
which is odd

It is also valid when m=n
i.e., when 2 same odd no. are considered.

;)
Hope it helps
Comment if you need to clear something ...

Anonymous: Its already so much clear
VemugantiRahul: tq
Anonymous: No problem
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