Ans : after 4 Years.
Sol: sum of their prsent ages= 5x+6x =11x
Sum of their ages after n year = 15y
So if we take n = 4, and solve for x ( 5x+4/6x+4 = 7/8), we get x = 2.
So their present ages are 10 and 12( i.e 5:6) and their future ages are 10+4= 14 and 12+4 = 16 (i.e 7:8)
Regards,
Namrta

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