he sum of two numbers is 36. One number is 3 times as large as the other. What are the numbers?
Larger number:
Smaller number:
Let's call the smaller number "x". According to the problem, the larger number is three times as large as the smaller number, so we can call it "3x".
We know that the sum of the two numbers is 36, so we can write the equation:
x + 3x = 36
Combining like terms, we get:
4x = 36
To find the value of "x", we divide both sides of the equation by 4:
x = 36/4
x = 9
So the smaller number is 9.
To find the larger number, we can substitute the value of "x" back into the expression for the larger number:
3x = 3(9) = 27
So the larger number is 27.
Larger number: 27
Smaller number: 9