The smallest of three consecutive even integers is 40 less than three times the largest. What is the largest of these integers?   

A    18

B    10

C    15

D    14

E  None 

Solution

Correct Answer: Option A

 

let the three numbers be a,b and c.. now,

The smallest of three consecutive even integers is 40 less than three times the largest means 3c-40=a.. 3c-a=40.. 2c+c-a=40.. c-a=4, as a,b,and c are consecutive even integers.. 2c+4=40.. 2c=36 or c=18.

 

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