Divide 41 into two positive parts such that difference of their squares is 369.

Divide 41 into two positive parts such that difference of their squares is 369.

unknown values: x,y

equation: x + y = 41

equation: x^2 - y^2 = 369

answer: {25; 16}

Find two integers whose sum is 12 and whose squares differ by 24.

unknown values: x,y

equation: x + y = 12

equation: x^2 - y^2 = 24

answer: {7; 5}

The sum of two positive integers is 25.The difference of their squares is 275.What are the two integers?

unknown values: x, y

equation: x + y = 25

equation: x^2 - y^2 = 275

answer: {18; 7}

find the number such that its square is 21 more than four times the original number

unknown values: x

equation: x^2=21+4*x

answer: 7 or -3

Nine times a certain integer is 18 less than the square of the integer. Find the integer.

unknown values: n

equation: 9*n = n^2 - 18

answer: ans_no_result

four times an integer plus 5 is equal to the square of the integer. what is the integer?

unknown values: n

equation: 4*n + 5 = n^2

answer: -1 or 5

find three consecutive positive even integers such that the product of the second and third integers is 15

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

equation: (2*k+2)(2*k+4) = 15

answer: ans_no_result

What are four consecutive integers whose sum is 98

unknown values: x-2,x-1,x,x+1

equation: (x-2)+(x-1)+x+(x+1) = 98

answer: 23;24;25;26

find 3 consecutive even integers such that three times the first equals the sum of the other two

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

equation: 3(2*x-2) = 2*x + (2*x+2)

answer: 6;8;10

find the 3 consecutive even integers such that 3 times the first equal the sum of the other 2.

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

equation: 3(2*x-2) = 2*x + 2*x+2

answer: 6; 8; 10