Kiran is 15years older than Rajat. after years, their ages will be in the ratio 3:2, find their ages.
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Let Rajat age be = x
Then kiran age = 15+x
After 6 years
Rajat age = x+6
kiran age = 15+x+6 = 21+x
kiran age : Rajat age = 3:2
Kiran age/Rajat age = 3/2
21+x = 3 ( by cross multiplication)
x+6 2
2(21+x) = 3(x + 6)
42+2x = 3x+18
2x-3x = 18-42
-x = -24 (LHS minus is cancel by RHS minus )
x = 24
Rajat age = x= 24
Kiran age = x+6 = 24+6 = 30
Hope it helps you
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