# 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? - Logical Reasoning

MCQ

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?

• 5

• 8

• 10

• 15

#### Solution

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

Concept: Blood Relationships (Entrance Exam)
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