find all sets of four consecutive integers whose sum is between 22 and 30

unknown values: x,x+1,x+2,x+3

equation: 22

0 answer: 301 Find three consecutive even integers such that the product of the first and the third is 24 less than 9 times the second. unknown values: n,n+2,n+4 equation: n(n+4) = 9(n+2) - 24 equation: n % 2 = 0 answer: 2; 4; 6 The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum. unknown values: x,x+2 equation: x + (x+2) <= 180 answer: 88; 90 find three consecutive integers such that the product of -5 and the sum of the first two is 43 less than twice the second. unknown values: x-1,x,x+1 equation: (-5)*((x-1)+x)=2*x-43 answer: 3; 4; 5 The difference between an integer and its square root is 110, what is the integer? unknown values: n equation: n - n^(1/2) = 110 answer: 121 Three divided by the difference of one and a number is as much as twice the same number unknown values: x equation: 3/(1-x)= 2*x answer: ans_no_result The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. What is the original fraction? unknown values: f equation: f = n/d equation: n/d = 1/4 equation: (n+3)/(d-3) = 1/3 answer: 12/48