The sum of two numbers is twenty-three, and the larger number is five more than the smaller number. Find these numbers.

unknown values: x,y

equation: x + y = 23

equation: x = 5 + y

answer: {9; 14}

If the first and third of three consecutive even integers are added, the result is 12 less than three times the second integer. find the integers.

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

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

answer: 10; 12; 14

The sum of three consecutive odd integers is -273. What are the integers?

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=-273

answer: -93; -91; -89

the sum of three consecutive odd integers is -117. what are the three integer?

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=-117

answer: -41; -39; -37

what three consecutive odd integers have a sum of -75?

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

equation: (2*k-1)+(2*k+1)+(2*k+3)=-75

answer: -27; -25; -23

Find two numbers with sum 10 and product 20.

unknown values: x, y

equation: x + y = 10

equation: x * y = 20

answer: {2.764; 7.236}

The sum of two numbers is 64. If twice the smaller number is subtracted from the larger number, the result is 16. Find the two numbers.

unknown values: x,y

equation: x+y=64

equation: y - 2*x = 16

answer: {16; 48}

The sum of two numbers is 91. The larger number is 1 more than 4 times the smaller number. Find the numbers.

unknown values: x,y

equation: x + y = 91

equation: x = 1 + 4*y

answer: {18; 73}

What is the sum of the distinct prime factors of 2007?

unknown values: s

equation: s = 3 + 223

answer: 226

One positive integer is 3 less than a second positive integer. The sum of the squares of the two integers is 65. Find both positive integers.

unknown values: x,y

equation: x+3=y

equation: x^2+y^2=65

equation: x>0

answer: 4; 7