Como resolver?

R= 13.447,55

Dados:

1º Capital : A

Taxa = 2% a.m
Prazo =  24 m

2º Capital: B
Taxa = 1,5% a.m
Prazo = 24 m.

Portanto:
\(\[\begin{align} & A\text{ }=\text{ }B\text{ }+10000 \\ & C1\text{ }=\text{ }C2\text{ }+\text{ }10.000\to \left( 1 \right) \\ & J1\text{ }=\text{ }J2\text{ }+\text{ }6.700 \\ & J1\text{ }-\text{ }J2\text{ }=\text{ }6.700\to \left( 2 \right) \\ & M1=C1*{{(1+0,02)}^{2}}4 \\ & M1={{1,02}^{2}}4*C1 \\ & M1=1,608437249*C1\to (3) \\ & M2=C2*{{(1+0,015)}^{2}}4 \\ & M2={{1,015}^{2}}4*C2 \\ & M2=1,429502812*C2\to (4) \\ & M1\text{ }=\text{ }C1\text{ }+\text{ }J1\to \left( 5 \right) \\ & M2\text{ }=\text{ }C2\text{ }+\text{ }J2\to \left( 6 \right) \\ \end{align}\] \)
\(\[\begin{align} & Logo: \\ & \left( 5 \right)\text{ }-\text{ }\left( 6 \right): \\ & M1\text{ }-\text{ }M2\text{ }=\text{ }C1\text{ }+\text{ }J1\text{ }-\text{ }\left( C2\text{ }+\text{ }J2 \right) \\ & M1\text{ }-\text{ }M2\text{ }=\text{ }C1\text{ }-\text{ }C2\text{ }+\text{ }J1\text{ }-\text{ }J2\to \left( 7 \right) \\ & \left( 3 \right),\text{ }\left( 4 \right),\text{ }\left( 1 \right)\text{ }e\text{ }\left( 2 \right)\text{ }em\text{ }\left( 7 \right): \\ & 1,608437249*\left( C2\text{ }+\text{ }10.000 \right)\text{ }-\text{ }1,429502812*C2\text{ }=\text{ }C2\text{ }+\text{ }10.000\text{ }-\text{ }C2\text{ }+\text{ }6.700 \\ & 1,608437249*C2\text{ }+\text{ }16084,37249\text{ }-\text{ }1,429502812*C2\text{ }=\text{ }C2\text{ }+\text{ }10.000\text{ }-\text{ }C2\text{ }+\text{ }6.700 \\ & 1,608437249*C2\text{ }-\text{ }1,429502812*C2\text{ }=\text{ }10.000\text{ }+\text{ }6.700-\text{ }16084,37249 \\ & 0,178934437*C2\text{ }=\text{ }615,62751 \\ & C2\text{ }=\text{ }\frac{615,62751}{0,178934437} \\ & C2\text{ }=\text{ }3.440,52 \\ & C1\text{ }=\text{ }C2\text{ }+\text{ }10.000 \\ & C1\text{ }=\text{ }3.440,52\text{ }+\text{ }10.000 \\ & C1\text{ }=\text{ }13.440,52 \\ \end{align}\] \)