Answer to Question #110771 in Algebra for Vedant

Question

A firm manufacturing steel-balls of 1 gram each
For 10 days and keeping in diff containers say date 1,2,3,,,,,,,,,,,10

Came to know one day production was wrong weighing 1.1 gram of one date
But not known on which date whole production went wrong so
Weigh once and find which day production went wrong?

Answer 1

Take a Big container.

Put it on an accurate weighing scale. Note its weight.

Now, one by one start putting the steel balls manufactured from on different days.

Start with a ball manufactured on Day 1.

Note the weight again, Calculate the difference.

Now put a ball manufactured on Day 1 in the container.

Note the weight again, Calculate the difference.

Continue this process till all 10 balls manufactured on 10 different days are put in the container.

The day on which the production went wrong is the day for which difference in weight measured is 1.1 grams and not 1 gram.

In this way, we can find out on which date whole production went wrong by Weighing once.