SOLUTION: Maggie, Amy, and Karen are relatives. They have lived a total of 105 years combined. Maggie's age is 25 years than three times Karen's age. Amy's age is twice the sum of Maggie and

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Question 1167095: Maggie, Amy, and Karen are relatives. They have lived a total of 105 years combined. Maggie's age is 25 years than three times Karen's age. Amy's age is twice the sum of Maggie and Karen's ages. Find the age of each woman
Found 3 solutions by dkppathak, josgarithmetic, ikleyn:
Answer by dkppathak(439) About Me  (Show Source):
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Maggie, Amy, and Karen are relatives. They have lived a total of 105 years combined. Maggie's age is 25 years than three times Karen's age. Amy's age is twice the sum of Maggie and Karen's ages. Find the age of each woman
solutions
Maggie+Amy+Karen=105 Given 1
Maggie=25+3Karen
Ammy=2(Maggies+Karen)
Ammy=2(25+3karen+Karen )=50+8 Karen putting value in 1 conditions
25+3Karen+50+8Karen+Karen=105
75+12Karen=105
12Karen=105-75=30
Karen=30/12=2.5 yrs
Maggie=25+3x2.5=25+7.5=32.5 yrs
Amy=50+8 Karen=50+8x2.5=70 yrs
Verification
Maggie+Amy+karen=32.5+70+2.5=105

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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Maggie's age is 25 years than three times Karen's age.
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Missing a word. Need to say EITHER "more than" or "less than".


If this solution does not give what you want, then you figure out what needs to change:

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Maggie, Amy, and Karen are relatives. They have lived a total of 105 years combined. Maggie's age is 25 years than three times Karen's age. Amy's age is twice the sum of Maggie and Karen's ages.
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system%28m%2Ba%2Bk=105%2Cm=3k-25%2Ca=2%28m%2Bk%29%29
Notice substitutions for m and a can be made and have an equation in just variable k.

%283k-25%29%2B2%28m%2Bk%29%2Bk=105
and then
%283k-25%29%2B2%28%283k-25%29%2Bk%29%2Bk=105
and simplifying
3k-25%2B2%284k-25%29%2Bk=105
3k-25%2B8k-50%2Bk=105
12k-75=105
12k=180
highlight%28k=15%29
-

RESULTS
highlight%28Maggie=45-25=highlight_green%2820%29%29
highlight%28Amy=70%29
highlight%28Karen=15%29

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

As it is worded, printed, posted and presented, it is a FAKE.

Does not deserve any discussion.

Good for re-cycling, only.