kamilmatematik100504 kamilmatematik100504

12-08-2021
Mathematics

contestada

If p and q are all positive integers and the maximum integer not greater than
31p/8q is 5, find the
minimum value of p +q .

Respuesta :

mhanifa mhanifa

12-08-2021

Answer:

71

Step-by-step explanation:

As per question we have:

p > 0, q > 0
31p/8q ≤ 5 ⇒ 31p ≤ 40q

Since 31 and 40 have no common factors, the minimum values of p and q are 40 and 31 respectively.

So the minimum value of p + q is:

40 + 31 = 71

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