Math, asked by cd0991690, 1 year ago

if there are four things and their weight is 40 kg and the by using those things we can find the weight from 1 to 40 kg what should be the weight of 4 item​

Answers

Answered by nitubarua1980
1

Answer:

Thanks for the request.

The main necessity is to measure any weight between 1 and 40 kgs ,both inclusive, using 4 weights.

We’ll try solving it piece by piece.(I intentionally elaborated it,do read even if it is long ,you’ll definitely understand and find how simple the problem is)

First you have no weights with you and you have to measure 1 kg ,so it is pretty obvious that you need 1 kg weight plate.

Now you need to measure 2 kg.For this you can either get a 2 kg plate but you should try using the weights you already have so that you increase the maximum quantity you can measure with less plates.(To make this clear,suppose you took 2 kg plate ,now you can measure 2kgs with it,then for 3 kgs you have purchased another 3kg plate .Instead if you carefully observe you can measure 3kgs with 2kg plate and 1 kg plates you which you already have. So if you use the what you already have you can decrease the expenditure). So now to use what I have i.e. 1 kg plate to measure 2 kg I can either take another 1 kg(1+1=2) plate or 3(3–1=2) kg plate. But if take a 1 kg plate I can measure only up to 2 kgs but if I take 3 kg plate I can measure up to 4 kgs.(So I’ll buy a 4 kg plate instead of 1 kg,assuming all plates cost same irrespective of their weights).

So now I can measure upto 4 kgs. To measure 5 kgs , I have to use the weight plates I already have .

So I can opt for 1 kg(i.e 4+1= 5 kg).Now as explained before if take the 1 kg plate I may not get maximum possible weight that I can measure. So I think of other possibility to get a 5kg using 4 kgs other than using 1kg plate. So I can take 9 kg plate (9–4=5 kg).

Therefore now I have 1kg plate,3 kg plate , 9kg plate. Maximum weight you can measure is 13 kgs. So you can measure anything between 1kg and 13 kg now.(For suppose to measure 7 kg,you keep 9+1 on one pan and and 3 on other pan.)

The next weight 14 kgs you cannot measure with the plates you have. Therefore applying the same thinking explained before you buy a 27 kg weight (because 13+1 =14 or 27–13 =14, And you buy the highest plate based for the reason which was explained).

Now if you see you have 1kg,3kg,9kg,27kg plates and maximum you can measure is 40kg. Amazingly you finished the problem :)

Step-by-step explanation:

make me as brainliest..please

i have copied from my father so sorry

Answered by vishnuakkenapally
1

Answer:

there are two cases:

case-1: the weight is equally distributed among the 4 items.so, each item weighs 10 kg. hence, the weight of 4th item will be 10kg in this case.

case-2: if the weight is distributed unequally with the multiple of any number for instance take the number 4 any multiples of 4 will be given to those 4 items like 4*1=4,4*2=8,4*3=12,4*4=16. so in this case the weight of 4th item is 16kg.

Step-by-step explanation:

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