one number is 2 more than three times a second number. the sum of the two numbers is 30. find the two numbers.

unknown values: x,y

equation: x = 2 + 3*y

equation: x + y = 30

answer: {23; 7}

the sum of two numbers is 825. Dividing the larger number by the smaller number yields 8 with a remainder of 15. What are the 2 numbers?

unknown values: m,n

equation: m+n=825

equation: m = 8*n + 15

answer: {725; 90}

If 9 is added to twice a number and this sum is multiplied by 3, the result is the same as if the number is multiplied by 4 and 13 is added to the product. What is the number?

unknown values: x

equation: 3*(2*x+9)=4*x+13

answer: -7

The difference between a number and fifteen is seven. Find the number.

unknown values: x

equation: x-15=7

answer: 22

A number subtracted from 17 gives the quotient of 48 and -8. Find the number.

unknown values: x

equation: 17 - x =48 / -8

answer: 23

What is the sum of 1 and 1?

unknown values: x

equation: x = 1 + 1

answer: 2

Twenty-one is three times the difference between four times a number and five. Find the number.

unknown values: x

equation: 21=3(4*x-5)

answer: 3

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

unknown values: x,y

equation: 3*x=4*y

equation: x+y=21

answer: {12; 9}

The sum of two numbers is 22. Five times one number is equal to 6 times the second number. Find the numbers.

unknown values: x,y

equation: x+y=22

equation: 5*x=6*y

answer: {12;10}

Find three consecutive even integers such that if three is added to the second consecutive even integer, the square of the result is 49.

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

equation: (3+2*k)^2=49

answer: 2; 4; 6 | 2; 4; 6 or -12; -10; -8