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Ratio of ages of John and Samy is 3:5. In 6 years time, the ratio will be 3:4. How old is Samy.

The ratio of the ages of John and Samy is 3:5. In 6 years' time the ratio of theiron ages will be 3:4. How old is Samy?

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Now:
John = 3x
Samy = 5x.
6 years later:
Jonh=3x+6
Samy = 5x+5
Ratio:
(3x+6)/(5x+6) = 3/4
Cross multiply it
12x+24= 15x+18
6=3x
x=2
samy = 5x=10