the sum of one half of the first even integer, one third of the third even integer and one fourth of the fifth even integer is equal to 12. What are the 5 consecutive even integers?

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

equation: (1/2)*(2*k-4)+(1/3)*(2*k)+(1/4)*(2*k+4)=12

answer: 8; 10; 12; 14; 16

find three consecutive multiples of 5 such that the sum of the squares of the first two is 125 greater than the square of the third.

unknown values: 5*x,5(x+1),5(x+2)

equation: (5*x)^2+(5(x+1))^2=125+(5(x+2))^2

answer: 20; 25; 30 or -10; -5; 0

the product of two consecutive integers is 3 less than 3 times their sum. Find the integers.

unknown values: x,x+1

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

answer: 5; 6 or 0; 1

The product of two consecutive odd integer is 1 less than 4 times their sum. Find the two integers

unknown values: x,x+2

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

answer: 7; 9 or -1; 1

The product of two consecutive even integers is 106 less than 11 times their sum. Find the two integers

unknown values: x,x+2

equation: x(x+2)+106=11(x+x+2)

answer: 6; 8 or 14; 16

The product of two consecutive integers is 4 less than four times their sum. Find the integers.

unknown values: x, x+1

equation: x(x+1)+4=4(x+x+1)

answer: 0; 1 or 7; 8

The product of two consecutive odd integers is 1 less than four times their sum. Find the two integers.

unknown values: x,x+2

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

answer: 7; 9 or -1; 1

The product of two consecutive positive odd integers is one less than three times their sum. Find the integers.

unknown values: x,x+2

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

equation: x>0

answer: 5; 7

the product of two consecutive odd integers is one less than six times their sum. Find the integers.

unknown values: x,x+2

equation: x(x+2)+1=6(x+x+2)

answer: 11; 13 or -1; 1

The Product of two consecutive odd integers is 1 less than twice their sum.Find the integers.

unknown values: x,x+2

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

answer: 3; 5 or -1; 1