Question

The sum of two numbers is 100 and one number is two less than twice the other number. Then the numbers are ...........

• A. $34,66$
• B. $24,76$
• C. $44,56$
• D. $46,54$

Answer 1

The correct option is A $34,66$

Let the two numbers be $x$ and $y.$

Thus

$x+y=100$

and

$x=2y-2$

Now substitute for $x$ in the first equation and get

$2y-2+y=100$

$3y-2=100$

$3y=102$

$y=34$ and since they add to $100,$

$x=66$

Answer should be $34,66$