answer the question which is in the photo?
Answers
Answer:
1kg,3kg, 9kg, 27kg
Step-by-step explanation:
First, you need to measure 1kg. So obviously, you need a 1kg weight. Next, for measuring 2kg, you need either one more 1kg weight or a 2kg weight, but this won't give you maximum output (as you have just 4 weights), hence try using the weights you already have to measure the subsequent weights. So, if you take a 3kg weight, you can have that on one scale and the 1kg weight on the other scale, to measure 2kg. Similarly, you can have both the 3kg and the 1kg weights on one side to measure 4kg. To measure 5kg, again applying the same logic, you take a 9kg weight (as 9 - 4 = 5; since you can already measure 4kg). Using the 9kg weight and the other 1kg and 3kg weights, you can measure up to ( 9 + 3 + 1 = 13kg ). For example, if you want to measure 11kg, just place the 9kg and 3kg weights on one side and 1kg weight on the other side. However, you cannot measure 14kg and onwards with the weights you have. So, applying the same logic as before, you obtain a 13kg + 14kg = 27kg weight. Using this, you can measure from 14kg upto ( 1kg + 3kg + 9kg + 27kg = 40kg). For example, to measure 33kg, place 27kg and 9kg on one side and 3kg on the other. Also, as we have seen, the 4 weights sum up to 40kg. Hence, the conditions in the question are both satisfied.