Answer :
Answer:
Step-by-step explanation:
Let's denote the two numbers as \(x\) and \(y\). We are given two pieces of information:
1. The sum of the two numbers is 26:
\[ x + y = 26 \]
2. The difference between the two numbers is 4:
\[ x - y = 4 \]
We can solve these two equations simultaneously to find the values of \(x\) and \(y\). One way to do this is by adding the two equations to eliminate \(y\):
\[ (x + y) + (x - y) = 26 + 4 \]
\[ 2x = 30 \]
\[ x = \frac{30}{2} \]
\[ x = 15 \]
Now that we have found \(x\), we can substitute this value back into one of the original equations to find \(y\). Let's use the first equation:
\[ x + y = 26 \]
\[ 15 + y = 26 \]
\[ y = 26 - 15 \]
\[ y = 11 \]
So, the two numbers are 15 and 11.