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Amrita2405
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OA:B

(1) XY – YX = 9
{10X+Y}-{10Y+X}=9
9{X-Y}=9
X-Y=1

taking Y=1, then X will be 2.
XY will be 2.

taking Y=2. then X will be 3
XY will be 6

There is no unique value of XY, so Statement 1 alone is not sufficient.

(2) XY + YX = 187
10X+Y+10Y+X=187
11X+11Y=187
X+Y=17
and X and Y can be only 1~9,
Two different values of X,Y are possible.
Case 1: X=8 ,Y=9
XY=72
Case 2: X=9 ,Y=8
XY=72

In both case, XY=72
So Statement 2 alone is sufficient to give a unique value of XY.
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Amrita2405
XY and YX represent 2-digit numbers. What is the value of X × Y?

(1) XY – YX = 9
(2) XY + YX = 187

(1) XY – YX = 9 ; gives X-Y=1 ; MANY COMBINATIONS ARE POSSIBLE HENCE NOT SUFFICIENT
(2) XY + YX = 187 ; GIVES X + Y = 17 ; ONLY ONE COMBINATION POSSIBLE I.E. EITHER X IS 9 OR 8 AND Y IS 8 OR 9 DEPENDING ON THE VALUE OF X. SUFFICIENT

CORRECT ANSWER IS B
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