There are three numbers such that the second is four times the first, the third is 3 less than the first. The sum of the firs

There are three numbers such that the second is four times the first, the third is 3 less than the first. The sum of the first and the third numbers is 27. What is the average of three numbers?

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  1. @ \text{Ché}
    Call the first number a.
    ⇒ The second number is : 4×a.
    ⇒ The third number is : 1/3×a.
    We have : a+1/3×a=27
        ⇒ a×(1+1/3)=27
        ⇒ a×4/3=27
        ⇒ a=27÷4/3
        ⇒ a=81/4
    The second number is : 4×81/4=81
    The third number is : 1/3×81/4=27/4.
    The average is : (81/4+81+27/4)÷3=36.
    Answer : Average : 36.
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