The sum of two numbers equal 25. The second number is 4 times larger than the first number. What are the two numbers
The difference of two numbers is 33. The sum of the first number and four times the second number is -2. What is the larger of the two numbers?
Let x = the smaller number.
x + 4x = 25
Let's represent the first number as "x" and the second number as "4x" since the second number is 4 times larger than the first number.
The sum of the two numbers is 25, so we can set up the equation:
x + 4x = 25
Now, we can simplify the equation by combining like terms:
5x = 25
To solve for x, we divide both sides of the equation by 5:
x = 25/5
x = 5
So, the first number is 5.
To find the second number, we can substitute the value of x back into the equation:
4x = 4 * 5
4x = 20
Therefore, the second number is 20.
In summary, the two numbers are 5 and 20.
To solve this problem, we can use algebraic equations. Let's assign variables to the two unknown numbers. Let's say the first number is "x," and the second number is "4x".
According to the given information, the sum of the two numbers is 25. We can express this as an equation:
x + 4x = 25.
Now, let's simplify this equation:
5x = 25.
To solve for x, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 5:
5x/5 = 25/5.
x = 5.
Now that we know the value of x, we can substitute it back into the equation to find the value of the second number:
4x = 4 * 5 = 20.
Therefore, the two numbers are 5 and 20.