Question 613
We are looking for the value of 2 integers, so let's call them x and y (where y is the larger integer). First we need to write the question out as an expression:

{{{4(x+y)=2+14y}}}

Expand the brackets:

{{{4x+4y=2+14y}}}

Subtract 4y from both sides:

{{{4x = 2 +10y}}}

Now, if they are consecutive integers, we know that:

{{{x = y-1}}}

If we substitute this into the previous equation, we get:

{{{4(y-1) = 2+10y}}}

Expand the brackets:

{{{4y - 4 = 2+10y}}}

Add 4 to both sides:

{{{4y = 6 + 10y}}}

Subtract 10y from both sides:

{{{-6y = 6}}}

Divide both sides by -6:

{{{y = -1}}}

Since x is one less than y:

{{{x=-2}}}

The 2 integers are -2 and -1.