What is the value of a^2b^2? (A) 2a + b = 12 (B) 3a + 3b = 27

Question

What is the value of a^2*b^2?
 
(A) 2a + b = 12
(B) 3a + 3b = 27

prajaktt · Answer

(A)  -- insufficient as we need values of both a & b to evaluate a^2*b^2
 (B)  -- insufficient , same as for (A)

Combining : 
Subtracting (B) from (A) we get , a=3 & b=6 -> a^2*b^2 = 9 * 36 = 324

Ans : C

broall · Answer

$a^2b^2 = (ab)^2$. Hence, the quesion actually asks the value of $ab$.

(A) or (B) : We cant know the value of $ab$

Combine (A) and (B): solving 2 equations we have $a=3$ and $b=6$. Now we know what the value of $ab$ is.
Sufficient.

The answer is C

Sumitj2016 · Answer

two variables so we need both the statement to solve given problem.

A : Insufficient . 2 variable 1 equation
B: Insufficient . 2 variable 1 equation

Combining A and B : two variables so we need both the statement to solve given problem.

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