KarenB7592 KarenB7592
  • 09-06-2020
  • Mathematics
contestada

If a and b must be positive integers, what is the largest integer n such that 13a + 18b = n has no solutions?

Respuesta :

adamu4mohammed adamu4mohammed
  • 11-06-2020

Answer:

Any integer that is not integer multiple of 234 is not a solution.

Step-by-step explanation:

We are required to find the largest integer n such that 13a + 18b = n has no solution, where a and b are integers.

13a + 18b = n

For a = 1, b = 0

n = 13

For a = 0, b = 1

n = 18

So, for the solution sets (1, 0), (0, 1), n will always have a solutions.

Consider n = 13 × 18 = 234

This means that any integer that is not integer multiple of 234 is not a solution.

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