SOLUTION: The Age Of Leena And Heena Are In The Ratio 7:5. Ten Years Hence,The Ratio Of Their Ages Will Be 9:7. Find Their Present Age?

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Question 664277: The Age Of Leena And Heena Are In The Ratio 7:5. Ten Years Hence,The Ratio Of Their Ages Will Be 9:7. Find Their Present Age?
Answer by lwsshak3(11628) About Me  (Show Source):
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The Age Of Leena And Heena Are In The Ratio 7:5. Ten Years Hence,The Ratio Of Their Ages Will Be 9:7. Find Their Present Age?
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let L=Leena's present age
let H=Heena's present age
at present:
L/H=7/5
H=5L/7
10 yrs hence:
L+10=Leena's age
H+10=Heena's age
(L+10)/(H+10)=9/7
7L+70=9H+90
7L-9H=20
sub L for H
7L-9*5L/7=20
7L-45L/7=20
49L-45L=140
4L=140
L=35
H=5L/7=25
Leena's present age=35
Heena's present age=25