1. Of the 5 numbers whose average is 76, the first is 3/7 times the sum of other 4. The first number is
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By: anil on 05 May 2019 02.17 am
Sum of the five numbers = $$5 imes 76 = 380$$ Let the first number = $$x$$ and Sum of other 4 numbers = $$y$$ According to ques, => $$x = frac{3}{7} y$$ Also, => $$x + y = 380$$ => $$frac{3 y}{7} + y = 380$$ => $$frac{3y + 7y}{7} = 380$$ => $$10y = 380 imes 7 = 2660$$ => $$y = frac{2660}{10} = 266$$ $$ herefore$$ The first number = $$x = frac{3}{7} imes 266$$ = $$3 imes 38 = 114$$
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