the sum of three numbers is 14. the sum of twice the first number, 5 times the second number, and 6 times the third number is 72. the difference between 5 times the first number and the second number is 6. find the three numbers

unknown values: x,y,z

equation: x+y+z=14

equation: 2*x+5*y+6*z=72

equation: 5*x-y=6

answer: 2; 4; 8

Find four consecutive even integers such that the sum of the squares of the first and the second is 12 more than the last.

unknown values: x,x+2,x+4,x+6

equation: x^2+(x+2)^2-12=x+6

answer: 2; 4; 6; 8

Three times the sum of three consecutive integers is equal to the product of the two smallest integers. What are the integers?

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

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

answer: -1; 0; 1 or 9; 10; 11

If you begin with an even integer and count by two, you are counting consecutive even integers. Write and solve an equation to find two consecutive even integers whose sum is 50.

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

equation: 2*k+2*k+2=50

answer: 24;26

the sum of two even integers is 194. what are they?

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

equation: 2*k+(2*k+2)=194

answer: 96; 98

find two consecutive even integers whose sum is 90.

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

equation: 2*k+(2*k+2)=90

answer: 44; 46

Two consecutive even integers that total 218

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

equation: 2*k+(2*k+2)=218

answer: 108; 110

find two consecutive even integers whose sum equals 42.

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

equation: 2*k+(2*k+2)=42

answer: 20; 22

find two consecutive even integers whose sum is 46

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

equation: 2*k+(2*k+2)=46

answer: 22; 24

two consecutive even integers have a sum of 74

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

equation: 2*k+(2*k+2)=74

answer: 36; 38