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8 years ago the average age of a family with 7 members was 34 years. 4 years ago, a male member of the family got married. Now, the present average age of the family is 7 years more than the average age of the family 8 years ago. What was the age of the new female member of the family at the time of her marriage?
1. 29 years
2. 30 years 
3. 31 years
4. 32 years

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Correct Answer - Option 2 : 30 years 

GIVEN:

Average age of family 8 years ago = 34 

Present average age after marriage = 7 + old average 

Member got married = 4 years ago

FORMULA USED:

Average = sum of all observations/total no of observations

CALCULATION:

Total present age of family excluding new member = (34 + 8) × 7 = 294 years

Total present age of family including new member = (34 + 7) × 8 = 328 years

Present age of new member = 328 - 294 = 34 years

Age of new member at the time of marriage = 34 - 4 = 30 years 

∴ The age was 30 years at the time of marriage

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