AB° Celsius ≅ BA° Fahrenheit

2*CD° Celsius ≅ DC° Fahrenheit

How much is A+B+C+D?

Rem: XY denotes 10*X+Y

(In reply to

computer exploration by Charlie)

I fully
admit that there are some flaws in this puzzle, but none of them IMHO justifies
the “1” rating given by one of the solvers.

The right points
in time to address the issues of approximation, order of operations, the status
of “leading zero” and some others issues were either while
the puzzle was on the reviewing board or immediately upon publishing, asking for
clarifications to provide an unambiguous text understandable
by other solvers.

Approximation:
I did not find the right symbol and copied from unrelated source the congruence
sign. Sorry.

As to what is “approximate” (i.e. what
percentage, or what absolute value of the difference)
any definition would include the exact
value.

Leading
zeros: to the best of my knowledge in
all previous puzzles on Perplexus the exclusion of leading zero is **explicitly**
stated, so there is no need to specify that
05 could be accepted.

PEMDAS is an
acronym for OOO, along with PEMA,
BOMDAS, BODMAS and others but it has so
many exceptions and no-clear-cut interpretations ( –a^n, ½*a, 23-11+5,
2^3^4 etc ) that should not be considered at all in operations
non related to basic arithmetic (like temperature conversion).

IMHO **it is for kids**, not for mathematicians.

My intention was (2*CD) Celsius converts to DC Fahrenheit.
Whoever had doubt could try to solve two puzzles at the price of one. Big deal.

Since the
puzzle was created bottom-up I was aware only of one answer for A+B+C+D.

This happened many times in the past and usually was
properly addressed by the solvers.

**Whoever
reads my remarks is invited to express his view re the intrinsic value of the
puzzle **by posting his comments or his rating.

**Your feedback
is appreciated.**