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
Let the three numbers be $$x,y$$ and 195
Average of three numbers = 135
=> Sum of three numbers = $$135\times3=405$$
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
=> $$2x=210+20=230$$
=> $$x=\frac{230}{2}=115$$
=> $$y=115-20=95$$
$$\therefore$$ Smallest number = 95
=> Ans - (B)
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