1. The average of three numbers is 135. The largest number is 195 and the difference between the other two is 20. The smallest number is
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By: anil on 05 May 2019 02.25 am
Let the three numbers be $$x,y$$ and 195 Average of three numbers = 135 => Sum of three numbers = $$135 imes3=405$$ Sum of other two numbers = $$x+y=405-195=210$$ -------------(i) And difference of other two numbers = $$x-y=20$$ ----------(ii)
Adding equations (i) and (ii), we get => $$2x=210+20=230$$ => $$x=frac{230}{2}=115$$ => $$y=115-20=95$$ $$ herefore$$ Smallest number = 95 => Ans - (B)
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Adding equations (i) and (ii), we get => $$2x=210+20=230$$ => $$x=frac{230}{2}=115$$ => $$y=115-20=95$$ $$ herefore$$ Smallest number = 95 => Ans - (B)