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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 |
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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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