Question

The sum of three consecutive even numbers is 60. Find the greatest of the three numbers.

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Answer 1

GIVEN,

SUM OF THREE CONSECUTIVE EVEN NUMBERS = 60

LET THE FIRST NUMBER BE X.. (i)

Since the number are consecutive and even,

Therefore second number = x + 2.. (ii)

and third number = x + 4... (iii)

Now,

Putting the values of equation (i), (ii) and (iii) together, we get,

x + x + 2 + x + 4 = 60

=> 3x + 6 = 60

=> 3x = 60 - 6

=> x = 54/3

=> x = 18

Therefore,

First number = x = 1

Second number = x + 2 = 18 +2 = 20

Third number = x + 4 = 18 + 4 = 22

Therefore the greatest number is 22.

Hope the answer helps you