the average age of six member of a family is 45.5 years if the age of a relative is also added then new average becomes 47 point the age of relative is
Answers
average = sum/ total number of given quantity
45.5 = sum/6
sum = 6*45.5 = 273
now,
new average = 47 = (sum + age of relative)/ total quantity
47 = (273+x)/7
273+x = 329
x = 56
The age of relative is 56 years
Given :
- The average age of 6 members of a family is 45.5 years.
- If the age of a relative is also added, then new average becomes 47.
To find :
The age of relative
Solution :
Step 1 of 3 :
Find the total age of 6 members
Here it is given that the average age of 6 members of a family is 45.5 years.
Total age of 6 members
= 6 × 45.5 years
= 273 years
Step 2 of 3 :
Find total age of 6 members and relative
It is given that if the age of a relative is also added, then new average becomes 47.
Now total number of persons = 6 + 1 = 7
The total age of 6 members and relative
= 47 × 7 years
= 329 years
Step 3 of 3 :
Find age of relative
Hence the age of relative
= 329 years - 273 years
= 56 years
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