SOLUTION: the sum of the ages of jasmine and her mother is 100. thir years ago jasmine's mother was 9 times as old as jasmine was then. how old is jamine now?

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Question 278524: the sum of the ages of jasmine and her mother is 100. thir years ago jasmine's mother was 9 times as old as jasmine was then. how old is jamine now?
Found 3 solutions by solver91311, colin514, JBarnum:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the mother's age now. Let represent Jasmine's age now. Thirty years ago (I'm assuming the "thir" you typed means thirty), the mother was and Jasmine was . And we are given that:



and



Re-write the second equation:



Add the re-written second equation to the first equation:





Solve for to find Jasmine's age now. To check your work, subtract that result from 100 to find the mother's age now. Then subtract 30 from each of the 'now' ages and verify that the larger is 9 times the smaller.

John


Answer by colin514(1) About Me  (Show Source):
Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
i dont know why that guy answered this so badly he didnt even get the right answer, but this is how its done:
j%2Bm=100
m-30=9%28j-30%29
m=100-j
%28100-j%29-30=9%28j-30%29
70-j=9j-270
70=10j-270
340=10j
highlight%2834=j%29
m=100-j
m=100-34
highlight%28m=66%29