If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?

A. -1B. 0C. 1D. 12E. 24

Question

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?

A. -1B. 0C. 1D. 12E. 24

Raju · Answer

Given (x-y) and (x+y) are prime, we could have (13)(11) = 143 or (11)(13) = 143.x−y=11x+y=13x= 12,&nbsp;&nbsp;y= −1,1x−y=13x+y=11x=12,y= −1, 1−1+1=0The answer is B.

	Raju
	Nitish Sinha
	Rohit Rohit
	virat
	rahul

Top Contributors

Nitish

1 month, 2 weeks ago

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?
A. -1
B. 0
C. 1
D. 12
E. 24

Top Contributors

Nitish

1 month, 2 weeks ago

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?A. -1B. 0C. 1D. 12E. 24

If (x − y)(x + y) = 143, and (x − y) and (x + y) are prime, what is the value of the sum of all possible values of y?
A. -1
B. 0
C. 1
D. 12
E. 24