The sum of three numbers is 264. If the first number be twice the second number and the third number be one-third of the first, then the second number is?

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• Explanation

• Solution

Explanation

• The sum of three numbers is 264.

• If the first number be twice the second number.

• The third number be one-third of the first.

• The second number will be figure out in this way.

Let suppose the second number is y.

First number be twice the second number

First number = 2y

Third number be one-third of the first

Third number = 2y/3

The sum of three numbers is 264

2y + y + 2y/3 = 264 ________ (i)

Through equation (i) we can easily find out the value of y (y = 72) which is required second number.

To Find

Second Number = ?

Solution

Let suppose

Second Number = y

According to the given condition

2y + y + 2y/3 = 264

6y + 3y + 2y = 792

11y = 792

y = 792/11

y = 72

Second Number = 72 answer

Conclusion

The sum of three numbers is 264. If the first number be twice the second number and the third number be one-third of the first, then the second number will be 72.