he average age of 10 men is increased by 3 years when one of them, whose age is 54 years is replaced by a woman. What is age of the woman?
Question
The average age of 10 men is increased by 3 years when one of them, whose age is 54 years is replaced by a woman. What is age of the woman?
Solution
Sure, let's solve this step by step:
Step 1: The average age of 10 men increased by 3 years when one man was replaced by a woman. This means the total age increased by 3 years * 10 men = 30 years.
Step 2: The man who was replaced was 54 years old.
Step 3: To find the age of the woman, we add the increase in total age to the age of the man who was replaced. So, 54 years (man's age) + 30 years (increase in total age) = 84 years.
So, the woman is 84 years old.
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