The average of 3 different positive integers a, b and c is 50. If a < b < c and b=30, what is the least possible value of c?

Question

asked Feb 11, 2023 204k views

1 Answer

Mhhollomon · Answer 1 · 2023-02-17T19:29:03+0000

Answer:

61

Explanation:

If the average of 3 different positive integers, a, b and c, is 50 then:

$\implies (a+b+c)/(3)=50$

If b = 30:

$\implies (a+30+c)/(3)=50$

$\implies a+30+c=150$

$\implies a+c=120$

If a < b < c then the least possible value of c is one more than the average of a + c.

Average of a + c:

$\implies (a+c)/(2)=(120)/(2)$

$\implies (a+c)/(2)=60$

So the least possible value of c is 60 + 1 = 61.