Question

What are two numbers such that the greater number is 75% more than the lesser number?

Answer 1

Any two numbers of the form `x and 7/4x`. If we limit them to be natural numbers, the smallest solution is `4 and 7.`

Explanation:

Let the lesser number be `x.`
The greater number is `75%` more than `x`. So, it must be:
`= x + (75/100)x`
`= x + 3/4x`
`= 7/4x`

Thus the answer is any two numbers of the form`(x, 7/4x).` Setting `x = 4` makes both a natural number. So, the smallest answer(if `x in N`) is `(4, 7)`.

Answer 2

`x = 1, y = 1.75`
`x = 2, y = 3.5`
`x = 4, y = 7`

These are examples, there are an infinite set of numbers you can use.

Explanation:

Let's call y the larger number, and x the lesser.

`y = 1.75x`

From here you can insert any number x, and get a y value that satisfies your problem.

Examples:
`x = 1, y = 1.75`
`x = 2, y = 3.5`
`x = 4, y = 7`