SOLUTION: Q: 4 different weights should able to measure weight upto 40 KG. Example 1, 20,9,10. Weights should able to measure any weight upto 1 to 40 KG. This is possible. Please anyone

Question 466771: Q: 4 different weights should able to measure weight upto 40 KG. Example 1, 20,9,10. Weights should able to measure any weight upto 1 to 40 KG.
This is possible. Please anyone can help me sort out this queries.
Answer by ccs2011(207) (Show Source): You can put this solution on YOUR website!
Question is a little vague, Im assuming based on the category that the weights need to be consecutive even/odd integers.
Lets call n the first and smallest weight.
The next consecutive even/odd integer would have to be (n+2).
1+2=3, 2+2=4, etc.
Thus we can say the next number is always 2 more than the previous number.
So the 4 weights would look like this,
n, n+2, n+4, n+6
Now set their sum equal to 40 and solve for n.

Combine like terms

Subtract 12 on both sides

Divide by 4 on both sides

Solution
7,9,11,13
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