IIT JAM 2026 Question 57: Harrod–Domar and Solow growth models

For a closed economy: $S_t=aY_t$ and $I_t=g(Y_t-Y_{t-1})$, where $S_t$, $Y_t$ and $I_t$ are savings, income and investment in period $t$, and $a$ and $g$ are positive constants. For $Y_0=100$, $a=0.5$ and $g=0.6$, the value of $Y_2$ is ________ (in integer).