I did not understand this question based on ratios

Question

Rs. 535 is divided among A, B and C so that if Rs. 15, Rs 10, Rs 30 be subtracted from their respective shares, the remainders would have been in ratio 4:5:7. What was their initial shares

Answer 1

\begin{align*} A-15 &= 4x\\[4pt] B-10 &= 5x\\[4pt] C-30 &= 7x \end{align*} Add the equations.

But you know the value of $A+B+C$, hence you can solve for $x$.

Once you have $x$, plug it back into the equations to find $A,B,C$.