Question

A number is 4 less than 2 times another number. Their difference is 8. What are the numbers?

• A. 20, -12
• B. -20, -12
• C. -20, 12
• D. 20, 12

Answer 1

Answer: (D)

20, 12

Let the numbers be $a$ and $b$
As per the given statement form a first equation as,
$a=2b-4$ ----- (1)
Second equation as,
$a-b=8$ ---- (2)
By subtracting the equation 1 and 2 we get
$a-2b=-4$
$a-b=8$
$-+-$
_________
$-b=-12$
$b=12$
Put the value of $b$ in equation (2)
$a-12=8$
$a=8+12$
$a=20$
Therefore, the numbers are 20, 12