What three consecutive even integers have a sum of 150?
unknown values: n,n+2,n+4
equation: n+(n+2)+(n+4) = 150
answer: 48; 50; 52
find 4 consecutive integers such that twice the sum of the two largest integers is 91 more than 3 times the first integer
unknown values: x,x+1,x+2,x+3
equation: 2(x+2+x+3) = 3*x+91
answer: 81; 82; 83; 84
Find three consecutive odd integers such that the product of the first two minus four times the third is 19.
unknown values: 2*k+1,2*k+3,2*k+5
equation: (2*k+1)(2*k+3) - 4(2*k+5) = 19
answer: 7; 9; 11 or -5; -3; -1
The product of two consecutive even integers is 10 less than five times their sum. Find the two integers.
unknown values: 2*k, 2*k+2
equation: 2*k*(2*k+2)=5*(2*k+2*k+2)-10
answer: 8; 10 or 0; 2
Find two numbers whose sum is 23 and the difference of whose squares is 207
unknown values: x,y
equation: x+y=23
equation: x^2-y^2=207
answer: {16;7}
Six times a number subtracted from the number squared is 40. Find the number.
unknown values: x
equation: x^2 - 6*x = 40
answer: 10 or -4
Sixteen less than a square of a number is the same as 6 times the number. Find the number.
unknown values: x
equation: x^2 - 16 = 6*x
answer: 8 or -2
find three consecutive even integers such that their sum decreased by the third is 82.
unknown values: x,x+2,x+4
equation: x + (x+2) + (x+4) - (x+4) = 82
equation:x=2*k
answer: 40; 42; 44
The product of three consecutive odd numbers is 6,783. What is the first number?
unknown values: 2*k-1
equation: (2*k-1)*(2*k+1)*(2*k+3)=6783
answer: 17
find 3 consecutive integers such that the sum of the first two integers is nine more than the third integer.
unknown values: x,x+1,x+2
equation: x+x+1=9+x+2
answer: 10;11;12