Question

Average of three numbers is 23. The first number is half of
the second number and twice the third number. Find the
first number​

Answer 1

Answer:

46/7

Step-by-step explanation:

Let the no.1 be x

therefore, x+x/2+2x=23

or 7x= 23×2

or x= 46/7

Answer 2

Correct Question :

Average of three numbers is 21. The first number is half of the second number and twice the third number. Find the numbers.

AnswEr :

Let the Numbers be a, b and c.

⋆ First No. = Twice the Third No.

» a = 2c —(¡)

⋆ First No. = Half of Second No.

» a = ½ × b

» 2 × a = b

» 2 × 2c = b [ from (¡) ]

» b = 4c —(¡¡)

• Now According to the Question :

⇒ (a + b + c) /3 = 21

⇒ (a + b + c) = 21 × 3

⇒ (2c + 4c + c) = 63

• [ From (¡) and (¡¡) ]

⇒ 7c = 63

• Dividing Both Term by 7

⇒ c = 9

◑ First No. = 2c = 2 × 9 = 18

◑ Second No. = 4c = 4 × 9 = 36

◑ Third No. = c = 9

჻ Required Numbers are 18, 36 and 9.