Question 359748
The first integer will be x, The second will be x+2, the third x+4.
From the information given we know that 2 times the sum of the two smaller integers OR
2(x+(x+2)).  equals 25 more than 3 times the largest OR (25+3(x+4)).  SO we combine these into an equation.

{{{2(x+(x+2))=25+3(x+4)}}}  Now solve for x starting with combining like terms.

{{{4x+4=37+3x}}}  Subtract 3x from both sides and subtract 4 from both sides.

{{{x+4=37}}}
{{{x=33}}}

So the first integer is 33.  Therefore the second integer is 33+2=35.
and the third integer is 33+4=37.

Three integers: 33, 35, 37