# Technothlon 2014 Question 9

Logic Level 4

Let Technometics be an arithmetic in which there are just $$5$$ digits (0,1,2,3,4), which are as follows-

$$0$$ may represent $$0$$ or $$5$$,
$$1$$ may represent $$1$$ or $$6$$,
$$2$$ may represent $$2$$ or $$7$$,
$$3$$ may represent $$3$$ or $$8$$,
$$4$$ may represent $$4$$ or $$9$$.

For example- If $$1430$$ is a number in Tehnometics, it can denote $$16$$ different numbers in normal number system, some of which are $$6480$$, $$1935$$, $$1485$$, etc. But a number in normal number system can have only one Technometical representation.

In a book of Technometics, Aniket finds a question which says,

"Given that $$1041^2=2324131$$, and $$2221^2=2201121$$, find the Technometric value of $$B-A$$, where $$A$$ and $$B$$ are the normal representations of 1041 and 2221 respectively."