The average age of Ratul's family 8 years ago (comprising 5 members) was 41 years. Three years ago a girl child was born. What
will be the approximate average age of Ratul's family 3 years hence ? (Consider no other changes took place in terms of members)
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Given :-
- Average age of Ratul's family 8 years ago (comprising 5 members) = 41 years.
- Three years ago a girl child was born.
To Find :-
- What will be the approximate average age of Ratul's family 3 years hence ?
Solution :-
we know that,
- Average = Sum of observations / Total number of observations.
so,
→ Total ages of Ratul's family members 8 years ago = Average * 5 = 41 * 5 = 205 years.
then,
→ Total ages of all 5 members now = 205 + 8*5 = 205 + 40 = 245 years.
and,
→ Total ages of 5 members + 1 girl = 245 + girl age = 245 + 3 = 248 years.
therefore,
→ Sum of ages of all 6 members after 3 years = 248 + 3 * 6 = 248 + 18 = 266 years.
hence,
→ Average = 266/6 ≈ 44.34 years. (Ans.)
∴ The approximate average age of Ratul's family 3 years hence will be 44.34 years.
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