SOLUTION: The sum of ages of 4 family members is 68. Four years ago the sum was 53. How old is the youngest family member? Please EXPLAIN!

Question 128414: The sum of ages of 4 family members is 68. Four years ago the sum was 53. How old is the youngest family member? Please EXPLAIN!
Found 2 solutions by idkweirdo, ankor@dixie-net.com:
Answer by idkweirdo(15) (Show Source): You can put this solution on YOUR website!
The youngest family is 13 years old. Because if u divide 68 years of age by the four members of the family, the youngest has to be at least 17 years old. Four years ago, the youngest member was was 13.
LEave comments!!
Good luck
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of ages of 4 family members is 68. Four years ago the sum was 53. How old is the youngest family member? Please EXPLAIN!
:
let their ages (going from the youngest) = a, b, c ,d
:
a + b + c + d = 68
:
the 4 year ago equation
(a-4) + (b-4) + (c-4) + (d - 4) = 53
a + b + c + d - 16 = 53
then
a + b + c + d = 53 + 16
a + b + c + d = 69; which is not possible,
:
We can assume that "a" was not born 4 years ago
Then 4 yrs ago:
(b-4) + (c-4) + (d-4) = 53
b + c + d - 12 = 53
b + c + d = 53 + 12
b + c + d = 65
:
Therefore:
a = 68 - 65
a = 3 yrs old
RELATED QUESTIONS
A total age of a family of 4 is 68. 4 years ago, it was 53. How old is the youngest... (answered by ikleyn)
The total age of family of 4is 68 4 years ago it was 53 how old is the... (answered by solver91311,Edwin McCravy)
A family of four members. The father is 2 years older than the mother. The sister is 2... (answered by stanbon)
the sum of the age of four sisters is 30. the sum of their ages four years ago was 15.... (answered by KMST)
The youngest member of the extended Lim family is 5 years old and the eldest is 78. What... (answered by ikleyn)
The youngest member of the extended Lim family is 5 years old and the eldest is 78. What... (answered by ikleyn)
Imagine a Filipino family with seven members. The grandfather is 4 years older than the (answered by ikleyn,greenestamps)
the youngest member of the extended Lim Family is 5 years old the eldest is 78. What are... (answered by josgarithmetic)
The average age of a family of 6 members is 25 years. The average age of the family after (answered by Edwin McCravy)