SOLUTION: If y>x, what is the value of x? (1) x and y are consecutive integers. (2) The square of the smaller minus 8 times the larger is 25. A. Statement 1 alone is sufficient to a

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If y>x, what is the value of x? (1) x and y are consecutive integers. (2) The square of the smaller minus 8 times the larger is 25. A. Statement 1 alone is sufficient to a      Log On


   



Question 1020003: If y>x, what is the value of x?
(1) x and y are consecutive integers.
(2) The square of the smaller minus 8 times the larger is 25.
A. Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.
B. Statement 2 alone is sufficient to answer the questiob, but statement 1 alone is not sufficient.
C. Both statement together are needed to answer the question, but neither statement alone is sufficient.
D. Either statement by itself is sufficient to answer the question.
E. Not enough facts are given to answer the question.

Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
This is a repeat question.

x, y are consecutive integers ---> x = x, y = x + 1
x^2 - 8(x+1) = 25
x^2 - 8x - 8 = 25
x^2 - 8x - 33 = 0
(x - 11)(x + 3) = 0
solutions: (x, y) = (-3, -2) or (11, 12)
Both statements are needed to answer the question. On their own, the conditions are not sufficient.