Question

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years. What is the age og the youngest child ?

Answer 1

Answer:

4

Step-by-step explanation:

Let the age of youngest child be 'x'

By AP (Arithmetic Progression), we get sn=(n/2)(2a + (n-1)d)

Here,

sn=50

n=5

d=3

a=x

So,

50=(5/2)(2x + 4*3)

20=2x + 12

x=4

Therefore, age of the youngest child is 4 yrs

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Answer 2

Answer:

Let the ages of children be x, (x + 3), (x + 6), (x + 9), (x + 12) years.

According to Question now,

➳ x + (x + 3) + (x + 6) + (x + 9) + (x + 12) = 50

➳ 5x + 30 = 50

➳ 5x = 50 - 30

➳ x = 20/5

➳ x = 4 years

Therefore,the age of youngest child is 4 years.