# Codesignal Solution: nthPlace

Original Problem

My daughter was given the following task: given the first number x and the second number y, find the nth number. The description was quite vague, but my daughter managed to do the task.

Can you?

Example

Turns out, for x = 7, y = 10 and n = 5,
the output should be
nthPlace(x, y, n) = 19.

Input/Output

• [time limit] 4000ms (js)
• [input] integer x

The first number.

Constraints:
1 ≤ x ≤ y.

• [input] integer y

The second number.

Constraints:
x ≤ y ≤ 100.

• [input] integer n

The number to find.

Constraints:
3 ≤ n ≤ 50.

• [output] integer

The nth number.

Solution

The solution is simply $$n-1$$ times the difference of the upper and lower bound plus the lower bound:

$s = x + (y - x) \cdot (n - 1)$

Or as a JavaScript solution:

nthPlace = (x, y, n) =>
x + (y - x) * --n

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