Find two consecutive positive even integers such that the square of the second integer summed with the first integer is 40.

Find two consecutive positive even integers such that the square of the second integer summed with the first integer is 40.

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

equation: (2*k+2)^2+2*k=40

answer: 4; 6

Find two consecutive integers such that the sum of three-fifths of the first and one-fourth of the second is 13.

unknown values: x, x+1

equation: (3/5)x + (1/4)(x+1) =13

answer: 15; 16

one integer is two times the next integer. find both integers.

unknown values: x, x+1

equation: x=2(x+1)

answer: -2; -1

find the smallest of four consecutive integers such that if twice the sum of the two smallest is added to three times the sum of the two largest, the result is 77.

unknown values: x

equation: 2(x+(x+1)) + 3((x+2)+(x+3)) = 77

answer: 6

The sum of three consecutive integers is negative 72. Find the numbers

unknown values: n,n+1,n+2

equation: n + (n+1) + (n+2) = -72

answer: -25; -24; -23

Find four consecutive integers such that the sum of the second and the fourth is 200

unknown values: x, x+1, x+2, x+3

equation: x+1+x+3=200

answer: 98; 99; 100; 101

Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third.

unknown values: x, x+2, x+4

equation: x+2(x+2)=12+x+4

answer: 6; 8; 10

The sum of the three smallest of four consecutive odd integers is 30 more than the largest integer. What are the four consecutive odd integers?

unknown values: x, x+2, x+4, x+6

equation: x+x+2+x+4=30+x+6

answer: 15; 17; 19; 21

Four times the sum of the first and third of three consecutive odd integers is one less than seven times the middle integer. Find the integers

unknown values: x,x+2,x+4

equation: 4(x +x+4 ) = 7(x+2) -1

answer: -3; -1; 1

What 4 consecutive integers have a sum of -34

unknown values: x,x+1,x+2,x+3

equation: x+x+1+x+2+x+3 = -34

answer: -10; -9; -8; -7