Question 241291
Since we need to find three consecutive integers, let:
x = integer
x+1 = consecutive integer
x+2 = the next consecutive integer
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The problem also tells us the sum of the first and second x + x+1
is equal to three times the third integer = 3(x+2)
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The equation then becomes: 
{{{x+(x+1)=3(x+2)}}}
{{{2x+1=3x+6}}}
Now solve for x to determine the first integer.
Add 1 to find its consecutive integer and increse it by 1 more to find the third one.
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Plug in the x value in the original equation and solve to ensure the answers make sense.
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Done!