Question 1064362

the sum of three integers is 27. the second integers is 2 less than twice the first integer and the third integer is 5 greater than three times the first. find the numbers
<pre>Let the first integer be F
Then 2nd is: 2F - 2, and 3rd is: 3F + 5
We then get: F + 2F - 2 + 3F + 5 = 27
6F + 3 = 27
6F = 27 - 3
6F = 24
{{{highlight_green(matrix(3,6, 1^(st), integer, "=", 24/6, or, 4, 2^(nd), integer, "=", 2(4) - 2, or, 6, 3^(rd), integer, "=", 3(4) + 5, or, 17))}}}