the product of two positive consecutive integers is 56 , find the numbers

unknown values: x,x+1

equation: x*(x+1)=56

answer: 7;8

find the value of y to make this an arithmetic sequencey+8, 4y+6, 3y

unknown values: y

equation: (4*y+6)-(y+8)=(3*y)-(4*y+6)

answer: -1

The product of a number and a second number that is 3 more than 5 times the first is 2. Identify the numbers.

unknown values: x,y

equation: y=3+5*x

equation: xy=2

answer: -1; -2 or 2/5; 5 | -1; -2 or 0.4; 5

what are two consecutive odd integers whose sum is -116?

unknown values: 2*k-1,2*k+1

equation: (2*k-1)+(2*k+1)=-116

answer: -59; -57

find two consecutive even integers such that the sum of the larger and twice the smaller is 62

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

equation: (2*k+2)+2*(2*k)=62

answer: 20; 22

Find two consecutive even integers such that the sum of the larger and 3 times the smaller is 234

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

equation: (2*k+2)+3*(2*k)=234

answer: 58; 60

Find two consecutive even integers such that the sum of twice the smaller integer plus the larger is 344.

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

equation: 2*2*k+2*k+2=344

answer: 114; 116

Find all the sets of three consecutive even integers whose sum is between 25 and 45.

unknown values: x-2,x,x+2

equation: 25