# If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.

I have a problems on MATH, My questions is –

**If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.**

My 4 answers options are –

a. 6

b. 36

c. 2

d. 5

e. 3

Which is the correct answer? please explain.

Please help me by salving this GMAT Questions.

Thanks.

Thanks for your questions, your question is –

If x + y = 6 and x2 + y2 = 30, then find the product of both the variables ‘x’ and ‘y’.

Correct answer: e

**Now read the details Explanation for your given questions clarifications:**

We know the standard algebraic formula for **(x+y)2**

**(x+y)2 = x2 + 2xy + y2**

Now, according to the information given in the question, * x + y = 6* and

**x2 + y2 = 30**Substituting these values in above equation, we get,

**(6)2 = 30 + 2xy**

**∴ 36 – 30 = 2xy**

**∴ 6 = 2xy**

**∴ xy = 3**Hence, the correct answer is option=

*.*

**e**If you like my answer, share this to your friends.