Question

$x+y+z=850$. If $x$ is reduced by $100$, $y$ by $25$, and $z$ by $50$, then $(x-100):(y-25)=1:2$ and $(y-25):(z-50)=5:6$. Find the original value of $x+y$.

• A. 400
• B. 500
• C. 550
• D. 350

Hint:

When ratios involve shifted values (like $x-100$), set them equal to $k$-multiples, back-substitute in the sum, and solve.