the sum of an even integer and twice the next greater even integer is eight more than four times the greater integer. find the lesser integer.

unknown values: 2*k

equation: 2*k+2*(2*k+2)=4*(2*k+2)+8

answer: -12

Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.

unknown values: x-1,x,x+1

equation: 2*(x-1)+3*(x+1)=126

answer: 24; 25; 26

Find three consecutive odd integers such that the sum of the least integer and the greatest integer is 13 more than the middle integer.

unknown values: m-2, m, m+2

equation: m-2+m+2=m+13

answer: 11; 13; 15

Nine more than four times a number is the same as one less than twice the number. Find the number.

unknown values: x

equation: 9 + 4*x = 2*x - 1

answer: -5

the product of two integers is 84. one integer is 8 more than the other. what are the two integers?

unknown values: m,n

equation: mn = 84

equation: m = 8 + n

answer: {14; 6} or {-6; -14}

The product of two consecutive even integers x and y is 34 less than 17 times their sum. Find the two integers.

unknown values: x,y

equation: y = x + 2

equation: xy = 17(x+y) - 34

answer: {32; 34} or {0; 2}

what is the sum of 7 consecutive even integers if the middle integer is n

unknown values: s

equation: s = (n-6)+(n-4)+(n-2)+n+(n+2)+(n+4)+(n+6)

answer: 7n

which 2 consecutive integers have a sum of -105

unknown values: x,x+1

equation: x+(x+1)=-105

answer: -53; -52

The sum of two consecutive integers is -21. Find the two integers

unknown values: x,x+1

equation: x+x+1=-21

answer: -11;-10

the sum of two consecutive integers is -71. what are those integers

unknown values: x,x+1

equation: x+(x+1)=-71

answer: -36;-35