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