Question

Ram is half as old as Shyam, who is three times as old as Prakash. The sum of their ages is 55. How old is Ram?

Options

• 5

• 8

• 10

• 15

Answer 1

15

Explanation:

Let the age of prakash = a year

According to the question,

Age of Shyam = 3a yr

Age of Ram = `"3a"/2` yr

Now, given that the sum of their ages is 55.

∴ a + 3a + `"3a"/2` = 55

⇒ 8a + 3a = 110

⇒ 11 a = 110

∴ a = 10

Now, the age of Ram = `"3a"/2 = (3 xx 10)/2` = 15 yr