[CharliePeirce]

Hey,

I hope there's someone who can help me with a problem I've been having.


If a + b= 200 and a < b, is a + b > c + d?


(1) c + d < 200
(2) b + c + d = 300

Naturally I subbed 200 into the question...so is 200 > c+d.
Then I set up a grid. Statement 1 says that c+d is less than 200, so that's sufficient.

But how do I go about figuring out 2?

[Bobotalk]

Charlie,

(1) c + d < 200
(2) b + c + d = 300

b + c +d = 300 - eq 1
add a to both the sides
a + b + c + d = 300 + a
we know a + b = 200, so
200 + c + d = 300 + a
c + d = a + 100
Now we know that a < b , a was equal to b a would be 100 and b would be 100, thus since a < b, a < 100
therefor a + 100 < 200 and c + d < 200 -- > Sufficient

Charlie - it's essential to realize that b must be more than 100, because it's the larger one of two numbers that add to 200; therefore it is larger than half of 200.

Hope that helped!
-Bobotalk

[brinks315]

my god !Who knows?

[goenkarajesh64]

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[TY]

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[gm.royale]

hey tanks for all the info..