Two less than the product of a number and -5 is -42? What is the number?

unknown values: n

equation: -5 * n - 2 = -42

answer: 8

Find three consecutive integers such that the sum of the first and second is 9 more than half of the third.

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

equation: (x-1)+x=(x+1)*1/2+9

answer: 6; 7; 8

The sum of three consecutive odd integers is 41 less than four times the largest. Find the numbers.

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=4*(2*k+3)-41

answer: 31; 33; 35

one is twice another number. When the larger number is diminished by 10, the result is two greater than the smaller. Find the numbers.

unknown values: m,n

equation: m = 2*n

equation: m - 10 = 2 + n

answer: {24; 12} or {-24; -12}

The difference between two numbers is 10 and their sum is equal to 4 times the smaller number. What are the numbers ?.

unknown values: x,y

equation: y-x=10

equation: x+y=4*x

answer: {5; 15}

Five times some number is 10 less than the number. What is the number?

unknown values: x

equation: 5*x=x-10

answer: -2.5

Two more than twice a number is equal to the number itself. Find the number.

unknown values: n

equation: 2 + 2*n = n

answer: -2

The sum of two numbers is 1457. Four times the first number minus twice the second number is 8. Find the larger number.

unknown values: y

equation: x + y = 1457

equation: 4*x - 2*y = 8

answer: 970

The sum of two numbers is 3 and twice the larger number is 36 more than three times the smaller number.What is the larger number?

unknown values: m

equation: m+n=3

equation: 2*m = 36 + 3*n

answer: 9

Find three consecutive even integers such that twice the sum of the first and third is four more than three times the second.

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

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

answer: 2; 4; 6