Ages of ASHA , Sushma are in the ratio 7:2.eight years hence ,the ratio of their ages will be 5:2 . Find their present ages .
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Answer:
Given that :
Age of Asha and sushma are in the ratio 7:2 .
After 8 years their ratio of age will be 5:2.
To find:-
Their present age.
Solution :-
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Ratio of the ages of Asha and Sushma= 7:2.
Let the common multiple be x
Therefore the present age of Asha= 7x and
The present age of Sushma= 2x.
Eight years hence,
The ratio of their ages= 5:2.
7x+8/2x+8= 5/2
2(7x+8)= 5(2x+8) [Cross multiplication]
14x+16= 10x+40
14x-10x= 40-16
4x= 24
x= 24/4= 6.
Present age of Asha= 7(6)= 42 years
Present age of Sushma= 2(6)= 12 years
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