1.

The average age of 6 members of a family is 20 yeaRs. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?1). 302). 353). 504). 55

Answer»

Average age after adding the age of servant will be = 20 × (1 + 25/100)

⇒ average age after adding SERVANTS age = 25 years

Let servants age be x, from the QUESTIONS statement

⇒ sum of age of all family MEMBERS except servant/6 = 20

⇒ sum of age of all family members except servant = 120….(i)

Now,

Given that (sum of age of all family members except servant + x)/7 = 25

⇒ sum of age of all family members except servant + x = 7 × 25

From (i) we get

⇒ x = 7 × 25 – 120

⇒ x = 55

∴ servant’s age is 55 years



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