Two numbers are in the ratio 5 ∶ 9. If each number is decreased by 8, the ratio becomes 1 ∶ 3. The numbers are:
ATQ, Given ratio: (x : y) = (5 : 9) (x/y) = 5/9 9x−5y = 0 (eqn1) New ratio after decreasing each number by 8: 
Equating the two equations: From eqn1, x = (5y/9) 
Substitute x in eqn2: 
Substitute y = 24 in eqn1: The numbers are 40 and 24.
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