Let the threshold frequency be λ0.
By the equation of photoelectric effect, for wavelength λ,
eV0=hc(λ1−λ01)...(i)
For the wavelength 2λ,
4eV0=hc(2λ1−λ01)...(ii)
Dividing (i) by (ii)
4=hc(2λλ0λ0−2λ)hc(λλ0λ0−λ)⇒4=λ0−2λ2(λ0−λ)⇒2λ0=6λ⇒λ0=3λ