Question

You have 10 bags full of coins, in each bag are 1,000 coins. But one bag is full of forgeries, and you can't remember which one. But you do know that a genuine coins weigh 1 gram, but forgeries weigh 1.1 grams.

Answer 1

Step-by-step explanation:

It is given that all ten bags are having equal number of coins that is 1000 coins in all ten bags.

Out of ten bags one of them contains forgeries of 1000 coins. So in order to find the bag with forgeries, we need to calculate weight of all the 10 bags.

Since every genuine coin weighs 1 gram so the 9 bags having genuine coins will have same weight equal to 1000 grams where as the bag with forgeries will have weight as 1100 grams as every forgery coin = 1.1 gram.

So the bag with maximum weight will be the bag with forgeries.

Answer 2

Answer:

Step-by-step explanation:

Complete question is by single weighing we need to find forgeries bag.

We will mark bag 1 to 10

We will take can coins

1 from bag 1

2 from bag 2

and so on

10 from bag 10

Total number of coins = 1 + 2 + 3 + .........................+ 8 + 9 + 10

= 10(11)/2

= 55 coins

Weight of 55 real coins 55 gm

but weight of forgeries is 1.1 gm (0.1 gm extra)

Extra wight then 55 gm will depend upon number of forgeries

If weight found to be 55.1 gm

then  forgeries is in bag 1

if 55.2 then forgeries is in bag 2

and so on

if 56 gm then forgeries is in bag 10

in this way we can find out which bag has forgeries