Question

the average height of 22 toddlers increases by 2 inches when two of them leave this group. if the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is

Answer 1

From CAT 2017 – Quantitative Aptitude – Arithmetic – Averages, we can see that,

Average of 22 people = a/22

Let sum of heights of two people who left = x

From the question,

(a-x)/20 = a/22 + 2

On solving, we get x=a/33

Putting value of x in a, we get the value of a as 660

x=20

Average height of remaining 20 toddlers = (a-x)/20 = 32

Answer 2

Answer:

32

Step-by-step explanation:

let the average age of 22 toddlers be x.

therefore, average age of 20 toddlers is x+2.

average age of 2 toddlers is x/3.

the formula for such questions is :

((avg of joining/leaving - original avg) * no of people leaving) / total no. of people = change in avg

here u can take original avg positive as it is a bigger value

so, {x - (x/3) * 2}/20 = x+2-x

x=30

therefore, avg age of 20 toddlers is 30+2= 32