Find four consecutive integers such that twice the first subtracted from the sum of the other three integers is sixteen.

unknown values: x,x+1,x+2,x+3

equation: (x+1+x+2+x+3)-2*x=16

answer: 10;11;12;13

Find four consecutive integers such that twice the first subtracted from the sum of the other three is 16.

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

equation: (k+1)+(k+2)+(k+3)-2*k=16

answer: 10; 11; 12; 13

Find 2 consecutive odd integers whose product is one less than 6 times their sum.

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

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

answer: 11;13 or -1;1

Find four consecutive even integers such that the sum of twice the fourth integer and half the second integer is 68.

unknown values: 2*k,2*k+2,2*k+4,2*k+6

equation: 2*(2*k+6)+(2*k+2)/2=68

answer: 22;24;26;28

find a number which is 24 greater than its opposite

unknown values: x

equation: x=24+((-1)*x)

answer: 12

Find a number that is 96 greater than its opposite.

unknown values: x

equation: x = 96 + ((-1)*x)

answer: 48

Find three consecutive integers such that 4 times the largest exceeds three times the second by 10.

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

equation: 4*(x+2)-3*(x+1)=10

answer: 5;6;7

Find three consecutive integers such that the sum of the first and twice the second is 17 more than twice the third

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

equation: (x+2*(x+1))=17+2*(x+2)

answer: 19;20;21

Twice the larger number is 3 more than five times the smaller number. The sum of the 2 numbers is 4 times the larger number. What are the two numbers?

unknown values: x,y

equation: 2*x=3+5*y

equation: x+y=4*x

answer: {-3/13; -9/13} | {-0.231; -0.692}

When 28 is added to 3 times a number y and the sum is divided by 2, the result is 2 times the number y. What is the value of y?

unknown values: y

equation: (28+3*y)/2=2*y

answer: 28