If O^3=DAD and (IM)^2=MOM, then what is MAID?

Question

If $O^3=DAD$ and $(IM)^2=MOM$, then what is $MAID$?

Source: I don't have the original source of the problem. But I found this on the book Neurone Abaro Onuronon by Muhammad Zafar Iqbal.

loopy walt · Accepted Answer

Start by constraining $M$:

No calculator required.

WhatsUp · Answer

It can be seen that $O^3 = DAD$ can only happen with

and $(IM)^2 = MOM$ can only happen with

and hence the value of $MAID$ is

It is easy if you are familiar with squares and cubes of small numbers. Otherwise just take a calculator and calculate

2 Answers