The product of two consecutive integers is 5 more than three times the larger. Find the integers.
unknown values: x, x+1
equation: x(x+1) = 3(x+1) + 5
answer: 4; 5 or -2; -1
Find four consecutive even integers such that the sum of the first three exceeds the fourth by 8.
unknown values: 2*k-2,2*k,2*k+2,2*k+4
equation: (2*k-2)+(2*k)+(2*k+2)=2*k+4+8
answer: 4; 6; 8; 10
The sum of three consecutive positive integers is 246. Find the largest integer.
unknown values: x+1
equation: (x-1)+x+(x+1)=246
answer: 83
The sum of 3 consecutive integers is 54. What is the greatest of the three integers?
unknown values: x+1
equation: (x-1)+x+(x+1)=54
answer: 19
The sum of the squares of three consecutive ODD integers is 875. Find the integers
unknown values: x-2,x,x+2
equation: (x-2)^2+x^2+(x+2)^2=875
answer: 15; 17; 19 or -19; -17; -15
If the sum of squares of three consecutive integers is 194, find the integers.
equation: (x-1)^2+x^2+(x+1)^2=194
answer: 7; 8; 9 or -9; -8; -7
two positive numbers are consecutive odd integers. the square of the smaller is 10 less than 5 times the larger. Find the integers.
unknown values: 2*k-1,2*k+1
equation: (2*k-1)^2=5*(2*k+1)-10
answer: 5; 7
2 positive numbers are consecutive odd integers. The square of the smaller is 10 less than 5 times the larger. Find the integers
unknown values: 2*k-1,2*k+1
equation: (2*k-1)*(2*k-1)+10=5*(2*k+1)
answer: 5;7
The sum of the third and twice the first of three consecutive odd integers is 49. Find all three consecutive odd integers.
unknown values: 2*k-1,2*k+1,2*k+3
equation: (2*k+3)+2*(2*k-1)=49
answer: 15; 17; 19
Find three consecutive odd integers suck that the sum of the greatest and twice the least is 25.
unknown values: 2*k-1,2*k+1,2*k+3
equation: (2*k+3)+2*(2*k-1)=25
answer: 7; 9; 11