The sum of two numbers is 12 and the product of the numbers is 35. Find sum of the squares of that numbers.
Choose the most appropriate option:  A) 84  B) 87  C) 96  D) 79  E) 74
Let a and b be the two numbers
(a+b)^2=a^2+2ab+b^2
Given (a+b)=12
ab=35
So, 12^2=a^2+b^2+2*35
144=a^2+b^2+70
a^2+b^2=74
Ans 74
<result>E</result>
The sum of two numbers is 12 and the product of the numbers is 35. Find sum of the squares of that numbers.