Question

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?

Answer 1

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.