\(\textbf{1)}\) The sum of 3 consecutive even integers is 126. What is the smallest of the 3 numbers? The answer is \(40\)
\(\,\,\,\,\,\,(x)+(x+2)+(x+4)=126\)
\(\,\,\,\,\,\,x+x+2+x+4=126\)
\(\,\,\,\,\,\,3x+6=126\)
\(\,\,\,\,\,\,3x=120\)
\(\,\,\,\,\,\,x=40\)
\(\,\,\,\,\,\,\)The answer is \(40\)
\(\,\,\,\,\,\,(x)+(x+2)+(x+4)=126\)
\(\,\,\,\,\,\,x+x+2+x+4=126\)
\(\,\,\,\,\,\,3x+6=126\)
\(\,\,\,\,\,\,3x=120\)
\(\,\,\,\,\,\,x=40\)
\(\,\,\,\,\,\,\)The answer is \(40\)
\(\textbf{2)}\) The sum of 3 consecutive integers is 60. What is the largest integer? The answer is \(21\)
\(\textbf{3)}\) The sum of 2 consecutive even integers is 114. What is the larger integer? The answer is \(58\)
\(\textbf{4)}\) The sum of 4 consecutive integers is 38. What is the value of the greatest of these 4 integers? The answer is \(11\)
\(\textbf{5)}\) Two numbers sum to 71. The first number is 5 more than double the second. What are the two numbers? The answer is 49 and 22
\(\textbf{6)}\) Three numbers sum to 117. The second number is 10 less than the first. The third number is 2 more than half the first. What are the three numbers? The answer is 50, 40, and 27