The product of three consecutive integers is 22 less than the cube of the middle integer. Find the integers.

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

equation: (k-1)k(k+1) + 22 = k^3

answer: 21; 22; 23

Find 3 consecutive even integers such that three times the second equals 4 more than the sum of the first and the third

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

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

answer: 2; 4; 6

find three consecutive even integers such that the sum of the first and the third is 12 less than four times the second

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

equation: ((2*k-2)+(2*k+2))=4*(2*k)-12

answer: 4; 6; 8

Find three consecutive even numbers so that the sum of the first and third numbers is 22 less than three times the second number.

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

equation: (2*k-2)+(2*k+2)=3*2*k-22

answer: 20; 22; 24

Four times the sum of two consecutive integers is equal to 2 more than 14 times the larger integer. Find the integers.

unknown values: x,x+1

equation: 4*(x+(x+1))=14*(x+1)+2

answer: -2; -1

find 3 consecutive odd integers whose sum is -81

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=-81

answer: -29; -27; -25

Find three consecutive odd integers whose sum is -81.

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=-81

answer: -29; -27; -25

The sum of two numbers is 6.5, and their product is 9. Find the numbers.

unknown values: x,y

equation: x+y=6.5

equation: x*y=9

answer: {4.5; 2} | {9/2; 2}

FIND TWO NUMBERS SUCH THAT THEIR SUM IS 6 AND THEIR PRODUCT IS 7.

unknown values: x,y

equation: x+y=6

equation: x*y=7

answer: {3+sqrt(2); 3-sqrt(2)} | {(-1) * 2 ^ (1/2) + 3; 2 ^ (1/2) + 3} | {3 - 2 ^ (1/2); 3 + 2 ^ (1/2)} | 1.586; 4.414 or 4.414; 1.586 | {1.586; 4.414}

the sum of two numbers is 25 and their product is 144. what are the numbers?

unknown values: x, y

equation: x+y=25

equation: x*y=144

answer: {9; 16}