the sum of an even integer and twice the next greater even integer is eight more than four times the greater integer. find the lesser integer.
unknown values: 2*k
equation: 2*k+2*(2*k+2)=4*(2*k+2)+8
answer: -12
Find three consecutive integers such that the sum of twice the smallest and 3 times the largest is 126.
unknown values: x-1,x,x+1
equation: 2*(x-1)+3*(x+1)=126
answer: 24; 25; 26
Find three consecutive odd integers such that the sum of the least integer and the greatest integer is 13 more than the middle integer.
unknown values: m-2, m, m+2
equation: m-2+m+2=m+13
answer: 11; 13; 15
Nine more than four times a number is the same as one less than twice the number. Find the number.
unknown values: x
equation: 9 + 4*x = 2*x - 1
answer: -5
the product of two integers is 84. one integer is 8 more than the other. what are the two integers?
unknown values: m,n
equation: mn = 84
equation: m = 8 + n
answer: {14; 6} or {-6; -14}
The product of two consecutive even integers x and y is 34 less than 17 times their sum. Find the two integers.
unknown values: x,y
equation: y = x + 2
equation: xy = 17(x+y) - 34
answer: {32; 34} or {0; 2}
what is the sum of 7 consecutive even integers if the middle integer is n
unknown values: s
equation: s = (n-6)+(n-4)+(n-2)+n+(n+2)+(n+4)+(n+6)
answer: 7n
which 2 consecutive integers have a sum of -105
unknown values: x,x+1
equation: x+(x+1)=-105
answer: -53; -52
The sum of two consecutive integers is -21. Find the two integers
unknown values: x,x+1
equation: x+x+1=-21
answer: -11;-10
the sum of two consecutive integers is -71. what are those integers
unknown values: x,x+1
equation: x+(x+1)=-71
answer: -36;-35