Answer: 26 and 11
Explanation:
The problem states that the sum of two numbers is 37, and one of the numbers is 15 more than the other number. Let's represent the two numbers as x and y.
Based on the given information, we can set up two equations:
1. The sum of the two numbers is 37:
x + y = 37
2. One of the numbers is 15 more than the other number:
x = y + 15
Now, we can solve the system of equations using substitution or elimination.
Let's use the substitution method. We'll substitute the value of x from the second equation into the first equation:
(y + 15) + y = 37
Combining like terms:
2y + 15 = 37
Subtracting 15 from both sides:
2y = 37 - 15
2y = 22
Dividing both sides by 2:
y = 11
Now, we can substitute this value of y back into the second equation to find x:
x = y + 15
x = 11 + 15
x = 26
Therefore, the two numbers are 26 and 11.