Question

Express as a pair of linear equations:
The difference between two numbers is 26 and one number is three times the other. (Select all the correct options)

• A. $x-y=26$
  $x=3y$
• B. $y-x=26$
  $y=3x$
• C. $x-y=-26$
  $x=-3y$
• D. $y-2x=26$
  $y=3x$

Answer 1

Answer: (A), (B)

The correct options are
A

$x-y=26$
$x=3y$

B

$y-x=26$
$y=3x$

Let first number be $x$ and second number be $y$.

According to given conditions, we have
$x-y=26$ (assuming $x>y$)
$x=3y$
and
$y-x=26$ (assuming $y>x$)
$y=3x$