Question

For two particular numbers $x$ and $y$, the values of $x-y$ and $2x-y$ are consecutive odd integers, respectively. Find the value of $x$.

• A. $-1$
• B. $-\frac{1}{2}$
• C. $0$
• D. $1$
• E. $2$

Answer 1

Answer: (E)

$2$

Given, two consecutive odd integers are $x-y$ and $2x-y$.
We know difference between two consecutive odd integers is $2$, so the equation will be,
$2x-y-(x-y)=2$
$\Rightarrow 2x-y-x+y=2$
$\Rightarrow x=2$
Value of $x$ is $2$.