Find four consecutive negative integers whose sum is -54
unknown values: x,x+1,x+2,x+3
equation: x + (x+1) + (x+2) + (x+3) = -54
answer: -15; -14; -13; -12
can you find three consecutive even integers such that the product of the first and third is 96?
unknown values: x, x+2, x+4
equation: x*(x+4)=96
answer: 8; 10; 12 or -12; -10; -8
In three consecutive positive integers, the product of the first and third, minus the second, is 1 more than 6 times the third. The smallest integer is?
unknown values: n
equation: n(n+2) - (n+1) = 1 + 6*(n+2)
answer: 7
the sum of twice and thrice of a number is 75. find the number.
unknown values: n
equation: 2*n + 3*n = 75
answer: 15
If six times an integer is added to four times the same integer, the results is 90. What is the integer?
unknown values: x
equation: 6*x+4*x=90
answer: 9
Find three consecutive positive even integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 48.
unknown values: 2*k, 2*k+2, 2*k+4
equation: (2*k)^2+(2*k+2)^2=(2*k+4)^2+48
answer: 10; 12; 14
Find 3 consecutive integers in which the sum of 1st and 3rd is 84 more than one half of the 2nd
unknown values: x, x+1, x+2
equation: x+x+2=84+(x+1)/2
answer: 55; 56; 57
If one-half of a number is added to one-third of the next consecutive number, the sum is 67. What are the two numbers?
unknown values: x, x+1
equation: x/2+(x+1)/3=67
answer: 80; 81
find three consecutive integers such that the difference of the squares of the least and the greatest is 96
unknown values: x, x+1, x+2
equation: x^2 - (x+2)^2 = 96
answer: 23; 24; 25 | -25; -24; -23 | 23; 24; 25 or -25; -24; -23
Find the larger of two consecutive integers whose sum is 4 less than three times the smaller integer.
unknown values: x+1
equation: x + x+1 = 3*x-4
answer: 6