BTGmoderatorDC wrote:The sum of positive integers x and y is 77, what is the value of xy?
(1) x=y+1
(2) x and y have the same tens digit.
Statement 1:
Substituting x=y+1 into x+y = 77, we get:
(y+1) + y = 77
2y = 76
y = 38, implying that x = 38+1 = 39.
Thus, xy = 39*38.
SUFFICIENT.
Statement 2:
For x and y to have the same tens digit and a sum of 77, they must be equal to the pair of values yielded by Statement 1:
38 and 39.
No other pair of integers has the same tens digit and a sum of 77.
Thus, xy = 38*39.
SUFFICIENT.
The correct answer is
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