Question

if x^3+y^3=1957 and (x+y )(x+1)(y+1)=2014 find x +y
Please answer with a simple solution.

Answer 1

Answer:

x+y=19.

Step-by-step explanation:

x³+y³=1957

By the formula, (a³+b³)=(a+b)*(a²+b²+ab)

Thus, (x+y)(x²+y²+xy)=1957,

1957=19*103,

2014=19*106,

So, both have a common factor 19.

Also, (x+y) is a common factor

Hence, (x+y)=19.