Question 59

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

Solution

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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