the sum of two integers is fifty seven. Twice the smaller integer is six less than the larger integer. Find the smaller integer

unknown values: x

equation: x+y=57

equation: y = 2*x+6

answer: 17

Find two consecutive even integers such that 3 times the smaller is 12 more than 2 times the larger.

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

equation: 3*(2*k)=2*(2*k+2)+12

answer: 16; 18

find two consecutive even integers so that three times the smaller is 40 more than two times the larger

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

equation: 3*(2*k)=2*(2*k+2)+40

answer: 44; 46

Find two consecutive even integers such that three times the lesser integer is eight more than twice the greater integer.

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

equation: 3*(2*k)=2*(2*k+2)+8

answer: 12; 14

Find three consecutive even integers such that two times the sum of the first and the second is equal to three times the third.

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

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

answer: 8; 10; 12

the sum of two integers is greater than 12, one integer is ten less than twice the other. what are the least values of the integers?

unknown values: x,y

equation: x+y>12

equation: x+10=2*y

answer: 6; 8

find 4 consecutive integers such that the sum of the first three exceeds the 4th by 18.

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

equation: (x-1)+x+(x+1)=18+(x+2)

answer: 9; 10; 11; 12

Find two consecutive integers such that 4 times the larger exceeds 3 times the smaller by 23.

unknown values: k, k+1

equation: 4*(k+1)-3*k=23

answer: 19;20

find two consecutive integers such that 4 times the largest exceeds 3 times the smaller by 23

unknown values: x,x+1

equation: 4(x+1)-3*x=23

answer: 19;20

Find two consecutive integers such that four times the the larger exceeds three times the smaller by 23.

unknown values: x,x+1

equation: 4*(x+1)-3*x=23

answer: 19; 20