Equal balances of Veeru and Joy

Let $t$ be the number of years after Veeru's investment when their balances become equal.

• Veeru's balance after $t$ years: $A_V = 10000 + 10000 \times 0.05 \times t = 10000 + 500t$

• Joy invests 2 years later, so Joy's money earns interest for $(t - 2)$ years: $A_J = 8000 + 8000 \times 0.10 \times (t - 2) = 8000 + 800(t - 2) = 800t + 6400$

Setting $A_V = A_J$: $10000 + 500t = 800t + 6400$ $300t = 3600 \implies t = 12$

Thus, their balances will be equal 12 years after Veeru's investment.