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

Twice the greater of two consecutive odd integers is 13 less than three times the lesser. Find the integers.

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 six times the first equals ten more than four times the second.

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

equation: 6*(2*k-1)=4*(2*k+1)+10

answer: 9; 11

Three times the greater of two consecutive odd integers is five less than four times the smaller. Find the two numbers.

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

equation: 3*(2*k+1)=4*(2*k-1)-5

answer: {11; 13}

Four times an integer is 9 more than three times the next consecutive odd integer. What are two odd integers?

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

equation: 4(2*k-1)=3*(2*k+1)+9

answer: 15; 17

The sum of two numbers is six. The sum of the squares of the two numbers is twenty-six. Find the two numbers.

unknown values: x,y

equation: x+y=6

equation: x^2+y^2=26

answer: 5;1 or 1;5

The sum of two numbers is 18 and the sum of their squares is 164. Find the numbers.

unknown values: x,y

equation: x+y=18

equation: x^2+y^2=164

answer: {8; 10} | 10; 8 or 8; 10

Find two numbers that total 12 and whose squares total 90.

unknown values: x,y

equation: x+y=12

equation: x^2+y^2=90

answer: {3; 9} | 3; 9 or 9; 3

The sum of two numbers is 25 and the sum of their squares is 313. Find the numbers.

unknown values: x, y

equation: x + y = 25

equation: x^2 + y^2 = 313

answer: {12; 13}