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
Find two consecutive odd integers such that the sum of the smaller and twice the larger is 79
unknown values: 2*k-1,2*k+1
equation: (2*k-1)+2*(2*k+1)=79
answer: 25; 27
One third of a number is -92. Find the number
unknown values: x
equation: x/3=-92
answer: -276
The smaller of two consecutive even integers is 2 more than twice the larger. Find the numbers.
unknown values: 2*x,2*x+2
equation: 2*x=2+2*(2*x+2)
answer: -6;-4