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