Loading...
SSAT Upper Level
Quantitative (Math)

Find the Value of abc

Very Hard Number And Operations Real Numbers

Let us consider the real numbers $a$, $b$, and $c$ such that:

$a + b + c = 12$

$a^2 + b^2 + c^2 = 70$

What is the value of the expression $abc$?

To solve for $abc$, use the identity:

$$a^2 + b^2 + c^2 = (a + b + c)^2 - 2(ab + ac + bc)$$

Hint

Submitted10.3K
Correct8.9K
% Correct86%