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We solve the two Diophantine equations $P_k=J_n+J_m$ and $Q_k=J_n+J_m$ where$\left\lbrace P_{k}\right\rbrace_{k\geq0}$, $\left\lbraceQ_{k}\right\rbrace_{k\geq0}$ and $\left\lbrace J_{k}\right\rbrace_{k\geq0}$ arethe sequences of Pell numbers, Pell-Lucas numbers and Jacobsthal numbers,respectively. The main tool is the theory of linear forms in logarithms.

Pell and Pell-Lucas numbers as sums of two Jacobsthal numbers