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GMATBusters
If x and y are the positive integers. What is the value of x + y?
1) \(x^2+y^2\)= 10
2) xy = 3

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Information


x and y are POSITIVE integers.

Requirement


Value of x+y..
So, individual values of x and y are NOT required.

Statements


1) \(x^2+y^2\)= 10
So Both x^2 and y^2 have to be LESS than 10, OR \(x\leq{3}\)......\(x\leq{3}\).
Possible values are 1, 2 and 3...
Only pair of x and y as 1 and 3 gives \(x^2+y^2\)= 10.
x+y=1+3=3+1=4
Suff

2) xy = 3
As both are positive integers, and xy=3=1*3, x and y are 1 and 3 ..
x+y=1+3=3+1=4
Suff

D
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GMATBusters
If x and y are the positive integers. What is the value of x + y?
1) \(x^2+y^2\)= 10
2) xy = 3

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Given X & y are +ve integers
So #1
X& Y would be 3&1
Sufficient
#2
XY=3
X Y are 3,1
Sufficient
OPTION D

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