The sum of two numbers is 100. Five times the smaller number is eight more than the larger. Find the numbers.

unknown values: x,y

equation: 5*x-8=y

equation: x+y=100

answer: {18; 82}

The sum of two numbers is fourteen. The difference between two times the smaller and the larger is one. Find the two numbers.

unknown values: x,y

equation: x+y=14

equation: 2*x-y=1

answer: {5; 9}

Grant is thinking of two numbers. He says that one of the numbers is six times the other number decreased by 2 and the sum of the numbers is 25. What are the numbers?

unknown values: x,y

equation: x = 6*y - 2

equation: x + y = 25

answer: {148/7; 27/7} | {21.143; 3.857}

The sum of two numbers is 240. The larger number is 6 less than twice the smaller number. Find the numbers.

unknown values: a,b

equation: a+b=240

equation: a=2*b-6

answer: {158; 82}

The sum of two numbers is 12. When one number is subtracted from three times the other, the result is 5. Find the numbers.

unknown values: x,y

equation: x + y = 12

equation: 3*y - x = 5

answer: {31/4; 17/4} | {7.75; 4.25}

Separate the number 57 into two parts so that the first number is three less than twice the second number.

unknown values: x,y

equation: x+y=57

equation: x = 2*y - 3

answer: 37; 20

The sum of two numbers is 62. Two times the lesser number is 4 more than the greater number. What are the numbers?

unknown values: x, y

equation: x + y = 62

equation: 2*y = 4 + x

answer: {40; 22}

twice the greater of two consecutive odd integers is thirteen less than three times the lesser number?

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

equation: 2*(2*k+1)=3*(2*k-1)-13

answer: 17; 19

twice the greater of two consecutive odd integers is 13 less than three times the lesser number

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

equation: 2*(2*k+1)=3*(2*k-1)-13

answer: 17; 19

Find two consecutive odd integers such that 5 times the first integer is 12 more than 3 times the second.

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

equation: 5*(2*k-1)=3*(2*k+1)+12

answer: 9; 11