Average of three numbers is 135 . largest number is 195 and diference between other two is 20 . smal

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4.Average

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The average of three numbers is $135 .$ The largest number is $195$ and the diference between the other two is $20 .$ The smallest number is

A

$35$

B

$95$

C

$105$

D

$115$

Solution

Let the there Number be $A, B, C$

$A=195 \Rightarrow A+B+C=135 \times 3$

$B+C=405-195$

$B+C=210$ …..$(i)$

given

$B-C=20$ …..$(ii)$

$B+C=210$

$B-C=20$

________________

$2B = 230$

$B=115 \Rightarrow C=115-20=95$

Smallest Number $=95$

Standard 13

Quantitative Aptitude

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