Number S is equal to the square of the sum of
digits of a 2 digit number D. if the difference between S and D is 27, then D is:

(1)32 (2)64 (3)54
(4)52

Solution follows here:
Solution:

Best approach for this problem is going from the given
options:

Option(1); D=32 => S = (3+2)

^{2}= 25; D-S = 7 ≠ 27 => option is wrong
Option(2); D=64 => S = (6+4)

^{2}= 100; S-D = 36 ≠ 27 => option is wrong
Option(3); D=54 => S = (5+4)

Answer (3)^{2}= 81; S-D = 27 => option is correct
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