the sum of three consecutive odd integers is 33. what is the product of the least and the greatest integer.
unknown values: (2*k-1)*(2*k+3)
equation: (2*k-1)+(2*k+1)+(2*k+3)=33
answer: 117
the sum of four consecutive odd integers is 56 find the first
unknown values: 2*k-3
equation: (2*k-3)+(2*k-1)+(2*k+1)+(2*k+3)=56
answer: 11
the ones digit of a 2 digit number is 2 greater than the tens digit, if the original number is subtracted from its interchanged form the difference is 18,find the original number
unknown values: x+10*y
equation: x=2+y
equation: (10*x+y)-(x+10*y)=18
answer: 13 or 24 or 35 or 46 or 57 or 68 or 79
The sum of two consecutive integers is five less than the smaller integer. Find both integers
unknown values: x,x+1
equation: x+(x+1)=x-5
answer: -6; -5
If the product of 2 consecutive positive odd integers is 15 more than 3 times their sum, then the larger integer is?
unknown values: 2*k+1
equation: (2*k-1)*(2*k+1)-15=3*(2*k-1+2*k+1)
answer: 9
The sum of the square of a positive number and the square of 4 more than the number is 58. what is the number?
unknown values: x
equation: x*x+(x+4)^2=58
answer: 3
find three consecutive odd positive integers such that 5 times the sum of all three is 42 more than the product of the first and second integer
unknown values: x,x+2,x+4
equation: 5(x+x+2+x+4)=x*(x+2)+42
answer: 1;3;5
The square of an integer plus two times the integer is 35. Find all possible solutions.
unknown values: x
equation: x^2 +2*x=35
answer: 5 or -7
if the square of a positive integer is added to 6 times the integer, the result is 135. find the integer
unknown values: x
equation: x^2+6*x=135
answer: 9
When the square of an integer is added to ten times the integer, the sum is zero. What is the integer?
unknown values: n
equation: 10*n + n^2 = 0
answer: -10 or 0