I have a problem I tried to solve, but couldn't because I don't know the method to solve it and I've never come across such problem.
Here's the problem.
$(PQ)²=RSP$
Where $P, Q, R, S$ are distinct single digit natural numbers, then $R=$?
We need to find out the value of $R$, and given option are
a) $1$
b) $2$
c) $3$
d) $4$
e) $5$
I've tried solving it by option with newly created equation as $Q^2=\frac{RS}{P}$ and taking values of $R$ from above options and other variables as distinct single digit numbers other than $R$, I've gone to a level after which I've got myself a lot confused and didn't know what to do. I think there is easier method to solve it which I don't know.
I'd appreciate if someone could give me a hand with this. Thanks in advance. :)
PS: The answer is c) $3$