The ages of A and B are in the ratio 9:4 Seven years hence the ratio of their ages will be 5:3 . Find their present ages
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Answer:
Let the present ages of A and B be a and b
b
a
=
4
9
a=
4
9b
After 7 yrs ages of A and B will be a+7 & b+7
b+7
a+7
=
3
5
3(a+7)=5(b+7)
3a+21=5b+35
3a=5b+14
3(
4
9b
)=5b+14
4
27b
−5b=14
4
7b
=14
b=2×4=8
a=
4
9×8
=9×2=18
∴Present ages of A and B will be 18 and 8
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