Find the value of 2 numbers if their sum is 27 and their difference is 1
MathBot Answer:
The numbers are \(14\) and \(13\).
The sum of \(n_{1}\) and \(n_{2}\) is \(27\), and their difference is \(1\). This translates to the two equations: \[\begin{aligned}n_{1} + n_{2} &= 27\\n_{1} - n_{2} &= 1\\\end{aligned}\] Adding the two equations together yields:\[\begin{gather*} 2 n_{1} = 28\\ n_{1} = 14\end{gather*}\] Substituting \(14\) for \(n_{1}\) into \(n_{1} + n_{2} = 27\) results in \(14 + n_{2} = 27\), so \(n_{2} = 13\).