Three years ago, the average age of a family of 5 members was 26 years. A baby was born, and the average age of the family is now 25 years. What is the present age of the baby? Options 2 years 4 years 3 years 5 years
Question
Three years ago, the average age of a family of 5 members was 26 years. A baby was born, and the average age of the family is now 25 years. What is the present age of the baby?
Options 2 years
4 years
3 years
5 years
Solution
To solve this problem, we first need to understand that the average age is calculated by dividing the total age of all members by the number of members.
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Three years ago, the average age of the family was 26 years. So, the total age of all the members was 26 years * 5 members = 130 years.
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In three years, each of the 5 members would have added 3 years to their age. So, the total age of the family members now (without the baby) is 130 years + 3 years * 5 members = 145 years.
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Now, the family has 6 members (including the baby), and the average age is 25 years. So, the total age of all the members is 25 years * 6 members = 150 years.
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The difference between the total age now and the total age of the family members without the baby is the baby's age. So, the baby's age is 150 years - 145 years = 5 years.
So, the present age of the baby is 5 years.
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