Answer:
61
Step-by-step explanation:
If the average of 3 different positive integers, a, b and c, is 50 then:
[tex]\implies \dfrac{a+b+c}{3}=50[/tex]
If b = 30:
[tex]\implies \dfrac{a+30+c}{3}=50[/tex]
[tex]\implies a+30+c=150[/tex]
[tex]\implies a+c=120[/tex]
If a < b < c then the least possible value of c is one more than the average of a + c.
Average of a + c:
[tex]\implies \dfrac{a+c}{2}=\dfrac{120}{2}[/tex]
[tex]\implies \dfrac{a+c}{2}=60[/tex]
So the least possible value of c is 60 + 1 = 61.
