1. There is group of 8 teachers. One teacher leaves the group and a new teacher joins the group. Due to this, the average age of teachers becomes same as the average 2 years ago. If the member who left was aged 42, what is the age (in years) of new teacher ?





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  • By: anil on 05 May 2019 02.27 am
    Let sum of the ages of 7 teachers (who remain constant) = $$7x$$ years Average age of the original group = $$frac{7x+42}{8}$$ Thus, average age 2 years ago = $$frac{7x+42}{8}-2$$ ------------(i) Let age of new teacher = $$y$$ years Average age of new group = $$frac{7x+y}{8}$$ -------------(ii) According to ques,  => $$frac{7x+42}{8}-2=frac{7x+y}{8}$$ => $$frac{7x+42-16}{8}=frac{7x+y}{8}$$ => $$y=42-16=26$$ $$ herefore$$ Age of new teacher is 26 years => Ans - (D)
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