the sum of two number is 25. one of the number exceeds the other by 9. fin d the number
To find the numbers, let's set up a system of equations. Let's assume the smaller number is represented by 'x' and the larger number is represented by 'y'.
According to the problem, the sum of the two numbers is 25. So, we can write the equation as:
x + y = 25 --equation 1
It is also given that one number exceeds the other by 9. So, we can write the equation as:
y = x + 9 --equation 2
To solve the system of equations, we can substitute equation 2 into equation 1:
x + (x + 9) = 25
Simplifying the equation, we get:
2x + 9 = 25
Subtracting 9 from both sides:
2x = 25 - 9
2x = 16
Now, divide both sides by 2:
x = 16/2
x = 8
So, the smaller number is 8.
To find the larger number, we can substitute the value of x into equation 2:
y = 8 + 9
y = 17
Therefore, the larger number is 17.
a = first number
b = second number
b = a + 9
a + b = 25
a + a + 9 = 25
2 a + 9 = 25 Subtract 9 to both sides
2 a + 9 - 9 = 25 - 9
2 a = 16 Divide both sides by 2
a = 16 / 2 = 8
b = a + 9 = 8 + 9 = 17
First number = 8
Second number 17