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

User Ryan Olds
by
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1 Answer

11 votes

Answer:

The larger integer is
4.

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.

User David Hol
by
8.9k points

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