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  2. Please help! The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number.Find the numbers.
# Engineering

The sum of three numbers is 6. If we multiply third number by 3 and add second number to it, we get 11. By adding first and third numbers, we get double of the second number.Find the numbers.

  • Option 1)

    x=1, y=2, z=3

  • Option 2)

    x=3, y=2, z=1

  • Option 3)

    x=2, y=1, z=2

  • Option 4)

    x=3, y=1, z=2

 

Answers (1)
A Aadil

x+y+z=6-(i)\\ y+3z=11-(ii)\\ x+z=2y-(iii)

From (i) and (iii)

3y=6

y=2

\therefore x+2=4\\ y+3z=11\\ 3z=a\\ Z=3 x=1 \therefore x=1, y=2, z=3


Option 1)

x=1, y=2, z=3

This solution is correct 

Option 2)

x=3, y=2, z=1

This solution is incorrect 

Option 3)

x=2, y=1, z=2

This solution is incorrect 

Option 4)

x=3, y=1, z=2

This solution is incorrect 

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