One number is 5 more than another. The quotient of the larger divided by the smaller is 4/3. Find the number
Let's assume the smaller number is x.
According to the problem, the larger number is 5 more than the smaller number, which can be represented as x + 5.
We are also given that the quotient of the larger number divided by the smaller number is 4/3, which can be expressed as (x + 5)/x = 4/3.
To solve this equation, we can use cross-multiplication.
First, multiply both sides of the equation by 3x to eliminate the denominators:
3x * (x + 5)/x = 4/3 * 3x
This simplifies to:
3(x + 5) = 4x
Now, distribute 3 to the terms inside parentheses:
3x + 15 = 4x
Next, subtract 3x from both sides to isolate the variable:
15 = 4x - 3x
This simplifies to:
15 = x
Therefore, the smaller number is 15.
To find the larger number, substitute the value of x into the equation x + 5:
15 + 5 = 20
So, the larger number is 20.
Therefore, the smaller number is 15 and the larger number is 20.