CEMC Pascal

Algebra Difficulty 1.8 Junior Find the answer

If $2 \times 2 \times 3 \times 3 \times 5 \times 6=5 \times 6 \times n \times n$ , what is a possible value of $n$ ?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

We rewrite the left side of the given equation as $5 \times 6 \times(2 \times 3) \times(2 \times 3)$ . Since $5 \times 6 \times(2 \times 3) \times(2 \times 3)=5 \times 6 \times n \times n$ , then a possible value of $n$ is $2 \times 3$ or 6.

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