two numbers sum to 37 twice the first subtracted from the second is 4 find the numbers
x + y = 37
y -2x = 4
-----------subtract second equn from first
3 x = 33
x =11
then y = 26
To find the two numbers, let's create a system of equations based on the given information.
Let's assume the first number is x, and the second number is y.
According to the statement, "two numbers sum to 37":
Equation 1: x + y = 37
And, "twice the first subtracted from the second is 4":
Equation 2: y - 2x = 4
Now, we have a system of equations. To find the values of x and y, we can solve these equations simultaneously.
One way to solve this is by substitution. We can rearrange Equation 1 to express x in terms of y:
x = 37 - y
Next, substitute the value of x in Equation 2:
y - 2(37 - y) = 4
Simplify the equation:
y - 74 + 2y = 4
3y - 74 = 4
Add 74 to both sides:
3y = 78
Divide both sides by 3:
y = 26
Now, substitute the value of y in Equation 1:
x + 26 = 37
Subtract 26 from both sides:
x = 11
So, the two numbers are x = 11 and y = 26.