The sum of two numbers is 3. Four times the larger number plus three times the smaller number is 25. Find the numbers.
The larger number is___?
and the smaller number is___?
no ideas at all?
Let the numbers be x and y
Now, what do you know about them?
No, sorry I really don't have an idea. I'm not good in algebra. I'm more of an essay writer.
I did the math but I came up with 13, and 16.
I think you must have meant -13 and 16.
If so, then your algebra isn't entirely useless.
To find the two numbers, let's set up a system of equations.
Let's assume the larger number is represented by "x" and the smaller number is represented by "y".
From the given information, we have two equations:
Equation 1: x + y = 3 (The sum of two numbers is 3)
Equation 2: 4x + 3y = 25 (Four times the larger number plus three times the smaller number is 25)
To find the values of x and y, we can use the method of substitution or elimination.
Let's use the method of substitution:
1. Solve Equation 1 for x:
x = 3 - y
2. Substitute this value of x into Equation 2:
4(3 - y) + 3y = 25
Simplify and solve for y:
12 - 4y + 3y = 25
12 - y = 25
-y = 25 - 12
-y = 13
Divide by -1:
y = -13
Now that we have the value of y, we can substitute it back into Equation 1 to find x:
x + (-13) = 3
x - 13 = 3
x = 3 + 13
x = 16
Therefore, the larger number is 16 and the smaller number is -13.