SOLUTION: the mean age of four women is 19year 11month. When a fifth woman joins them, the average age of all five is 20year 7month. How old is the fifth woman?

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Question 966437: the mean age of four women is 19year 11month. When a fifth woman joins them, the average age of all five is 20year 7month. How old is the fifth woman?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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the mean age if four women is 19yr 11month.
When the fifth woman joins them, the average age of all five is 20yr 7month.
How old is the fifth woman.
:
Convert the ages to months
19(12) + 11 = 239 mon
20(12) + 7 = 247 mon
:
let x = age of the 5th woman in monts
%28%284%28239%29%2Bx%29%29%2F5 = 247
956 + x = 247 * 5
x = 1235 - 956
x = 279 month is the age of the 5th girl
Find the age in yrs using long division; 279/12
I got 23 yrs, 3 months