Question

Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?

Answer 1

Answer:

The larger integer is $4$.

Step-by-step explanation:

Given: Two times the smaller of two consecutive integers is equal to $2$ more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be $x$ and $x+1$,  where the smaller integer is $x$ and larger integer is $x+1$.

Now, according to question.

Two times the smaller integer $=$ $2$ more than the larger integer.

$\implies 2x=x+1+2$

$\implies 2x-x=3$

$\implies x=3$

So, the smaller integer is $3$, and the larger integer is $3+1=4.$

Hence, the larger integer is $4.$