Find two consecutive integers such that the sum of the first and the square of the second is 19

unknown values: x, x+1

equation: x+(x+1)^2=19

answer: 3; 4 or -6; -5

Find 3 consecutive integers such that the square of the first, decreased by 5 times the second is 9.

unknown values: x-1,x,x+1

equation: (x-1)^2-5*x=9

answer: 7; 8; 9 or -2; -1; 0

One Number is 11 more than another. If the product of the two numbers is -24, find the Numbers.

unknown values: x,y

equation: x-y=11

equation: xy=-24

answer: 3; -8 or 8; -3

The sum of the digits of a two-digit number is nine. If the original number is doubled, the result is eighteen less than twice the original number reversed. What is the original number?

unknown values: 10*x+y

equation: x+y=9

equation: 2*(10*x+y)=2*(x+10*y)-18

answer: 45

The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers?

unknown values: x,y

equation: x+y=82

equation: x+17=2*y

answer: {49; 33}

Two numbers have sum of 32. If the second is five less than four times the first, what are the two numbers?

unknown values: x,y

equation: x + y = 32

equation: y = 4*x - 5

answer: 37/5; 123/5 | 7.4; 24.6

The sum of two numbers is 16. Twice the smaller # is 2 more than the larger number.Find them.

unknown values: x,y

equation: x+y=16

equation: 2*x = 2 + y

answer: {6; 10}

The sum of two numbers is 112. The greater of the two is 32 less than 11 times the lesser number. Find the numbers?

unknown values: x,y

equation: x+y=112

equation: 11*x-y=32

answer: {12;100}

The larger of two numbers is 5 less than twice the smaller number. The sum of the two numbers is 28. What are the numbers?

unknown values: x,y

equation: x+5=2*y

equation: x+y=28

answer: {17; 11}

The sum of two numbers is 48. Three times the smaller number is the same as 32 more than the larger. Find the two numbers.

unknown values: x,y

equation: x+y=48

equation: 3*x = 32 + y

answer: {20; 28}