The sum of 3 numbers is X. Of these, the average of the first two numbers is W and the average of the last two numbers is P. What is the third number?
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The sum of 3 numbers is X. Of these, the average of the first two numbers is W and the average of the last two numbers is P. What is the third number?
the third number is c = 2P - 2W.
Q. if X=240 ,W=30, P =70,
Sol. If X=240, W=30, and P=70, we can use the formula we derived in the previous answer to find the third number:
c = 2P - 2W
Substituting the given values, we get:
c = 2(70) - 2(30)
Simplifying, we get:
c = 140 - 60
c = 80
Therefore, the third number is 80.
Q. if X= 0, w=30, P=70
If X=0, W=30, and P=70, we can use the formula we derived in the previous answer to find the third number:
c = 2P - 2W
Substituting the given values, we get:
c = 2(70) - 2(30)
Simplifying, we get:
c = 140 - 60
c = 80
Therefore, the third number is 80, even though the sum of the three numbers is zero. This means that the first two numbers must add up to -80, which is the negative of the third number, in order for the sum to be zero.
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