A and B have an average weight of 60 kg. If A weighs 70 kg, what is B's weight?

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Question: A and B have an average weight of 60 kg. If A weighs 70 kg, what is B\'s weight?

Options:

Correct Answer: 50 kg

Solution:

Average = (A + B) / 2 = 60. Therefore, A + B = 120. If A = 70, then B = 120 - 70 = 50 kg.

A and B have an average weight of 60 kg. If A weighs 70 kg, what is B's weight?

A and B have an average weight of 60 kg. If A weighs 70 kg, what is B's weight?

Step 1: Understand that the average weight of A and B is given as 60 kg.
Step 2: Recall the formula for average: Average = (A + B) / 2.
Step 3: Set up the equation using the average: (A + B) / 2 = 60.
Step 4: Multiply both sides of the equation by 2 to eliminate the fraction: A + B = 120.
Step 5: We know A's weight is 70 kg, so substitute A in the equation: 70 + B = 120.
Step 6: To find B's weight, subtract A's weight from 120: B = 120 - 70.
Step 7: Calculate the result: B = 50 kg.

Average Calculation – Understanding how to calculate the average of two numbers and manipulate the equation to find an unknown value.
Algebraic Manipulation – Using basic algebra to isolate variables and solve for unknowns.