The average age of a couple was 24 years. After their 1st and 2nd children (twins) were born, the average age of the family became 13.5 years. The average age of the family just after 3rd child was born was 13.2 years. The average age of the family after 4th child was born was 16 years. The current average age of the family is 19 years. What is the current age of the twin children?
14 years
15 years
11 years
12 years
Answers
Answer:
The current age of the twin children is 12 years
Answer :
The Average age of the couple is 24 Years
Sum of the ages of the couple is 24 * 2 = 48 Years
After the 1st and 2nd children, the average age of the family is 13.5 Years
The sum of the age of all 4 members of the family is 13.5 * 4 =54 Years
So the sum age of the twin's children is 54 – 48 = 6 years
The age of each child is 3 years,
After adding the age of 3rd child, the average family age is 13.2 Years.
The sum of the age of all 5 members of the family is 13.2 * 5 = 66 yrs
Difference of age is 66 – 54 = 12
The 3rd child was born after 12/4 = 3 Years.
The Average of family members after a fourth child is 16 Years.
The sum of the age of the family is 16 * 6 = 96 yrs.
Difference of age is 96 – 66 = 30
The 4th child was born after 30/ 5 = 6 Years
The current average age of the family is 19 Years.
The sum of the current family age is 19 * 6 = 114 Years
The difference in the age is 114 – 96 = 18 Years
The current ages now 18/6 = 3 Years
The age of the eldest children is 3 + 6 + 3 = 12 years
So,
The current age of the twin children is 12 years.
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