The sum of the two numbers is 12 and the sum of their squares is 74. What is the numbers?

unknown values: x, y

equation: x + y = 12

equation: x^2 + y^2 = 74

answer: {7; 5}

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

unknown values: x, y

equation: x + y = 6

equation: x^2 + y^2 = 20

answer: {2; 4}

The sum of two numbers is 17 and the sum of their squares is 145. Find the numbers.

unknown values: x,y

equation: x + y = 17

equation: x^2 + y^2 = 145

answer: {8; 9}

Five times the first of 3 consecutive even integers is 4 less than the twice of the sum of 2nd and 3rd . find the three even numbers .

unknown values: 2*k,2*k+2,2*k+4

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

answer: 8; 10; 12

The sum of two numbers is 23. Twice the larger number is 4 more than 4 times the smaller. What are the numbers?

unknown values: x,y

equation: x+y=23

equation: 2*y=4*x+4

answer: {7;16}

The sum of two integers is fifteen. Eight times the smaller is 1 less than three times the larger. Find the numbers.

unknown values: x,y

equation: x+y=15

equation: 8*x=3*y-1

answer: {4; 11}

The sum of two integers is twenty. Five times the smaller integer is two more than twice the larger integer. Find the two integers.

unknown values: x,y

equation: x+y=20

equation: 5*x-2=2*y

answer: {6; 14}

The sum of two numbers is 88. Three times the smaller equals twice the larger number, plus 29. Find the numbers.

unknown values: m,n

equation: m+n=88

equation: 3*m = 2*n + 29

answer: {41; 47}

The sum of two numbers is 18. Find the numbers, if three times the smaller is one less than twice the larger.

unknown values: m,n

equation: m+n=18

equation: 3*m = 2*n-1

answer: {7; 11}

The sum of two integers is ten. Three times the larger integer is three less than eight times the smaller integer. Find the integers

unknown values: x,y

equation: x+y=10

equation: 3*y+3=8*x

answer: {3; 7}