The least integer of a set of consecutive integers is minus 25. If the sum of these integers is 26, how many integers are in this set?

unknown values: n

equation: (-25 + (-25 + n - 1))*n/2 = 26

answer: 52

the sum of 3 consecutives odd integers is 40 more than the smallest. What are the integers?

unknown values: 2*k+1,2*k+3,2*k+5

equation: 2*k+1+2*k+3+2*k+5=2*k+1+40

answer: 17;19;21

The sum of three consecutive even integers is 30 more than the largest. What are the integers?

unknown values: 2*k-2,2*k,2*k+2

equation: (2*k-2)+2*k+(2*k+2)=(2*k+2)+30

answer: 14; 16; 18

Find three consecutive odd integers such that the sum of the first integer twice the second integer and three times the third is 70?

unknown values: 2*k-1,2*k+1,2*k+3

equation: (2*k-1)+2*(2*k+1)+3*(2*k+3)=70

answer: 9; 11; 13

the sum of two numbers is 120. if the larger number is 4 times the smaller number, find the two numbers?

unknown values: x,y

equation: x + y = 120

equation: x = 4*y

answer: {96; 24}

a number is twice another number. if their sum is 48 find the numbers.

unknown values: x,y

equation: x = 2*y

equation: x + y = 48

answer: 32; 16

The sum of two numbers is 42. One number is 2 times as large as the other. What are the numbers?

unknown values: x,y

equation: x=2*y

equation: x+y=42

answer: {28; 14}

Three times the first of three consecutive odd integers is 3 more than twice the third. Find the third integer ?

unknown values: 2*k+3

equation: 3*(2*k-1)=2*(2*k+3)+3

answer: 15

Three consecutive integers are such that their sum has the same value as twice the second integer subtracted from 20. What are the three integers?

unknown values: x-1,x,x+1

equation: (x-1)+x+(x+1)=20-2*x

answer: 3; 4; 5

The average of four consecutive even integers is 17. Find the integers.

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))/4=17

answer: 14; 16; 18; 20