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Bunuel
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Work backwards…

The only one which gives the correct sum among the options is E which is 74+47=121.

So answer E

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Let the two digit number be ab = 10a + b.
Reverse - ba = 10b + a

Given 10a+b+10b+a=121
11(a+b)=121
a+b=11
and a+b=3
on solving
a=7 & b=4

Option E is correct
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IMO E
This is also a fast method to solve the problem.
the only option with a+b having the same units digit number as 121 is E where 4+7=11­
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