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The average of 13 members of a family is 48 if two new members of the family join them then the average age decreases by 10% which is equal to 11.11% of the total age of 5 members of the family including the new members of the family then find the average age of remaining 10 members of the family.

The average of 13 members of a family is 48 if two new members of the family join them then the average age decreases by 10% which is equal to 11.11% of the total age of 5 members of the family including the new members of the family then find the average age of remaining 10 members of the family. Correct Answer 60.48

Given:

Total member of the family initially = 13

New members of family = 2

The initial average age of the family = 48

Concept Used:

Average = (Total sum of result)/(Total number of result)

11.11% = 1/9

Calculation: 

Total age of family member initially = 13 × 48 = 624

When new members join the family then the average age of the family is = 48 × (90/100)

= 43.2

Total age of family members after joining the new members = 43.2 × 15 = 648

Total age of five members of the family is = (48 – 43.2)/11.11% = 43.2

The total age of the remaining 10 members of the family is = 648 – 43.2 = 604.8

Then the average age of the remaining 10 members of the family = 604.8/10 = 60.48

∴ The required average age of the remaining 10 family members is 60.48.

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