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  • 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.

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)

best_answer

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 

Posted by

Aadil

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