Question

A number is 4 less than 2 times another number. Their difference is 46. Find the numbers.

• A. 86 and 50
• B. 76 and 50
• C. 96 and 50
• D. 46 and 50

Answer 1

The correct option is C 96 and 50

Let the numbers be $x$ and $y$
As per the given statement form a first equation as,
$x=2y-4$ ---------- (1)
Second equation as,
$x-y=46$ ---------- (2)
By subtracting equation 1 and 2, we get
$x-2y=-4$
$x-y=46$
___________
$-y=-50$
$y=50$
Put the value of y in equation (2)
$x-50=46$
$x=46+50$
$x=96$
Therefore, the numbers are 96 and 50.