Question 1185604

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Let L = Ali's age now
and D = Adi's age now

From the 3yrs ago info:
(1)  L-3 = 8(D-3)  -->  L = 8D-21

From the 3yrs from now info:
(2)  L+3 = 5(D+3)  -->  L = 5D+12

L=L -->  8D-21 = 5D+12 

Solve this to get  D=11  (<b>Adi is 11</b>)
Plug D=11 into (1) or (2) and solve for L:  L = 67   (<b>Ali is 67</b>)

Check:
67-3 = 64 
8(11-3) = 64  (ok, using 3yrs ago info)

67+3 = 70
5(11+3) = 70  (ok, using 3yrs from now info)