Question

A number is 4 less than 2 times another number. Their sum is 200. Find the numbers.

• A. 112 and 68
• B. 132 and 65
• C. 102 and 68
• D. 132 and 68

Answer 1

Answer: (D)

132 and 68

Let the numbers be $x$ and $y$
As per the given statement form a first equation as,
$x=2y-4$ ----------- (1)
Second equation as,
$x+y=200$ ------------ (2)
By subtracting equation 1 and 2, we get
$x-2y=-4$
$x+y=200$
___________
$-3y=-204$
$y=68$
Put the value of y in equation (2)
$x+68=200$
$x=200-68$
$x=132$
Therefore, the numbers are 132 and 68.