SOLUTION: a father is 3 years older than his wife,and the child's age is half of the mother's age. what is the age of the mother,father and the child? the sum of their age add up to 100

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Question 1131423: a father is 3 years older than his wife,and the child's age is half of the mother's age. what is the age of the mother,father and the child? the sum of their age add up to 100
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
a father is 3 years older than his wife,and the child's age is half of the mother's age.
what is the age of the mother,father and the child? the sum of their age add up to 100
~~~~~~~~~~~~~~~~~ 


child + mother + father = 100

  x   + 2x     + (2x+3) = 100   



5x = 100 - 3 = 97.


x = 97/5.


ANSWER.  The problem is DEFECTIVE.


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Father     w+3
Mother     w
Child      w/2
Total       100

%28w%2B3%29%2Bw%2Bw%2F2=100
2w%2Bw%2F2=97
4w%2Bw=194
highlight_green%28w=38.8%29
--- 

Father     41.8
Mother     38.8
Child      19.4
Total       100


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"father is 3 years older than his wife,..."

If the problem said father were 5 years older than his wife, then
w%2B5%2Bw%2Bw%2F2=100,...
and the results would be whole numbers.
Father, 41
Wife, 38
Child, 19