1. Present ages of R and P are in the ratio of 9 : 11 respectively. After 7 years, their ages will be in the ratio of 26 : 31 and sum of their ages will be 114 years. What is the present age (in years) of P?
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By: anil on 05 May 2019 02.04 am
Let present age of R = $$9x$$ years and of P = $$11x$$ years According to ques, => $$frac{9x+7}{11x+7}=frac{26}{31}$$ => $$279x+217=286x+182$$ => $$286x-279x=217-182$$ => $$7x=35$$ => $$x=frac{35}{7}=5$$ $$ herefore$$ Present age of P = $$11 imes5=55$$ years => Ans - (C)
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