Answer:
The division equations \(43=n\div 42\) and \(42=n\div 43\) are true.
Step-by-step explanation:
The given multiplication equation is
\(42\times 43=n\)
We need to find a division equation which is true if 42 × 43 = n.
Case 1: Divide both sides by 42.
\(\frac{42\times 43}{42}=\frac{n}{42}\)
\(43=n\div 42\)
Case 2: Divide both sides by 43.
\(\frac{42\times 43}{43}=\frac{n}{43}\)
\(42=n\div 43\)
Therefore the division equations \(43=n\div 42\) and \(42=n\div 43\) are true.
