bubbliiiiiiii wrote:
500 is the multiple of 100 that is closest to x
In other words, of the values 100, 200, 300, 400, 500, 600, (etc), the multiple that is closest to x is 500
This means that:
450 < x < 550 (e.g., if x were greater than 550 it would be closer to 600, not 500)
Similarly, if 400 is the multiple of 100 that is closest to y then:
350 < y < 450
We want to find the multiple of 100 that is closest to x+y
Statement 1: x < 500
Since we already know that
450 < x < 550, statement 1 tells us that
450 < x < 500
So, if
450 < x < 500 and if
350 < y < 450, we can add the inequalities to get: 800 < x+y < 950
From this, we can see that x+y could be closer to 800 or it could be closer to 900
INSUFFICIENT
Statement 2: y < 400
From this, we can use the same logic to see that
350 < y < 400
Since we already know that
450 < x < 550, we can add the inequalities to get: 800 < x+y < 950
From this, we can see that x+y could be closer to 800 or it could be closer to 900
INSUFFICIENT
Statements combined 2:
(1) tells us that
450 < x < 500
(2) tells us that
350 < y < 400
When we combine these, we see that 800 < x+y < 900
Since the sum of x+y could be closer to 800 or it could be closer to 900, the statements combined are INSUFFICIENT so the answer is
E
