the sum of two consecutive even integers is 34 less than their product. find the integers

unknown values: 2*k, 2*k+2

equation: 2*k+2*k+2=2*k*(2*k+2)-34

answer: -6; -4 or 6; 8

three consecutive integers where the square of the smaller number is 4 more than 8 time the largest. what are the three integers?

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

equation: x^2=4+8*(x+2)

answer: 10; 11; 12 or -2; -1; 0

find three consecutive positive integers, such that the square of the smallest exceeds the largest by 10

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

equation: x^2= (x+2)+10

answer: 4;5;6

sum of four consecutive integers is 686, then what is the sum of four previous consecutive integers ?

unknown values: s

equation: x+(x+1)+(x+2)+(x+3)=686

equation: s = (x-1)+(x-2)+(x-3)+(x-4)

answer: 670

Find three consecutive odd integers such that the sum of all three is 42 less than the product of the larger two.

unknown values: (2*k+1),(2*k+3),(2*k+5)

equation: (2*k+1)+(2*k+3)+(2*k+5)= (2*k+3)*(2*k+5)-42

answer: 5;7;9

one-fifth of the sum of a number and -3 is twice the number. What is the value of the number?

unknown values: x

equation: (x+(-3))/5=2*x

answer: -1/3 | -0.333

The sum of three consecutive integers is 7 less than twice the first. What are the integers?

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

equation: x+(x+1)+(x+2)=2*x-7

answer: -10;-9;-8

find three consecutive even integers such that the sum of twice the smallest and three times the largest is 232

unknown values: 2*k,2*k+2,2*k+4

equation: 2*2*k+3*(2*k+4)=232

answer: 44;46;48

Three integers have a sum of 50. the second integer is four times as large as the first integer and the third integer is 4 less than the second integer. what are the three integers.

unknown values: x,y,z

equation: x+y+z=50

equation: y=4*x

equation: z=y-4

answer: {6; 24; 20}

when a number is divided by 4 and has 12 subtracted from it, the result is 1/6 of the number. what is the number ?

unknown values: n

equation: n/4 - 12 = n / 6

answer: 144