Question

This is Linear Equation. The Sum of three numbers is 27. The second number is three times the first, while the third is twice the first, Find the average.​

Answer 1

Answer:

average = 9

(the third number is the average)

Step-by-step explanation:

If the sum of three numbers is 27, then the average (mean) is the total (27) divided by the number of values (3):

⇒  27 ÷ 3 = 9

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However, if you want to find the actual numbers:

Let x = first number

Let y = second number

Let z = third number

Given:

• The sum of three numbers is 27  ⇒ x + y + z = 27
• The second number is three times the first  ⇒ y = 3x
• The third number is twice the first  ⇒ z = 2x

Substitute y = 3x  and  z = 2x  into  x + y + z = 27 and solve for x:

⇒ x + 3x + 2x = 27

⇒ 6x = 27

⇒ x = 4.5

    y = 3x  

⇒  y = 3 x 4.5

⇒  y =13.5

    z = 2x

⇒  z = 2 x 4.5

⇒  z = 9

Therefore, x = 4.5  y = 13.5  and z = 9

which means z (the third number) is same value as the average