Question

One number is 14 more than two times another number. If each number were multiplied by three, their difference would be 18. what are the numbers.

• A. 2, 8
• B. -2, -8
• C. -2, 8
• D. 2, -8

Answer 1

Answer: (B)

-2, -8

Let the numbers be $a$ and $b$
As per the given statement form a first equation as,
$a=2b+14$ ------------ (1)
Second equation as,
$3a-3b=18$ ------------ (2)
Multiplying equation 1 and by 3 and then subtract the equation
$3a-6b=42$
$3a-3b=18$
$-+-$
_________
$-3b=24$
$b=-8$
Put the value of $b$ in equation (1)
$a=2(-8)+14$
$a=-16+14$
$a=-2$
Therefore, the numbers are -2, -8