find two consecutive even numbers such that three times the square of the smaller one added to the square of the greater is equal to 84

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

equation: 3*(2*k)^2+(2*k+2)^2=84

answer: 4; 6

If 6 is subtracted from the third of three consecutive odd integers and the result is multiplied by 2, the answer is 23 less than the sum of the first and twice the second of the integers. Find the integers.

unknown values: 2*k-1,2*k+1,2*k+3

equation: 2*((2*k+3)-6)=(2*k-1)+2*(2*k+1)-23

answer: 15; 17; 19

there are three consecutive integers. The sum of twice the second and third is 61. Find the three integers.

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

equation: 2*x+(x+1)=61

answer: 19; 20; 21

Three consecutive integers are such that the square of the first is 29 less than the product of the other two

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

equation: (x-1)*(x-1)=x(x+1)-29

answer: 9; 10; 11

If the largest of 87 consecutive integers is 326, what is the smallest?

unknown values: k-87+1

equation: k=326

answer: 240

find three consecutive even integers such that the product of the second and third integers is twenty more than ten times the first integer

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

equation: 2*k*(2*k+2)=10*(2*k-2)+20

answer: 6; 8; 10 or -2; 0; 2

If the sum of the consecutive integers from -22 to x, inclusive, is 72, find the value of x?

unknown values: x

equation: (-22+x)*(x-(-22)+1)/2=72

answer: 25

twice a number decreased by 7, gives 45. find the number

unknown values: n

equation: 2*n - 7 = 45

answer: 26

If the product of a number and 4 is decreased by 10, the result is 50. Find the number

unknown values: n

equation: 4*n-10=50

answer: 15

420 is subtracted from the product of a number and 12. This difference is equal to 960. What is the number?

unknown values: x

equation: 12*x-420=960

answer: 115