Create Equations with Consecutive Integers Challenge

If the first of three consecutive integers is x, what is the equation for the sum of these integers if it equals 72?

• 4x = 72

• 3x + 3 = 72

• x + x + 1 = 72

• 2x + 2 = 72

A number is 5 more than the first of three consecutive integers. If the sum of these integers is 51, what is the first integer?

• 18

• 20

• 16

• 14

The ages of three siblings are consecutive integers. If the youngest is y, write an equation for their total age if it equals 36.

• y + (y + 1) + (y + 2) = 36

• 2y + 2 = 36

• 4y = 36

• 3y + 3 = 36

If the second of four consecutive integers is represented as n, what is the equation for their total if it equals 100?

• 4n + 2 = 100

• 5n - 3 = 100

• 2n + 4 = 100

• 3n + 1 = 100

A classroom has students whose ages are consecutive integers. If the oldest is 12, what are the ages of the other two students?

• 10, 11

• 8, 9

• 11, 13

• 9, 10

The sum of two consecutive integers is 29. What are the integers?

• 10 and 19

• 14 and 15

• 12 and 17

• 13 and 16

If the first of five consecutive integers is represented as a, write an equation for their total if it equals 85.

• 2a + 20 = 85

• 5a + 10 = 85

• 3a + 15 = 85

• 4a + 5 = 85

A farmer has chickens and ducks. If the number of ducks is three more than the first of three consecutive integers representing the number of chickens, and the total is 30, what is the first integer?

• 8

• 5

• 6

• 7

The product of two consecutive integers is 72. What are the integers?

• 7 and 8

• 9 and 10

• 6 and 7

• 8 and 9

If the first of six consecutive integers is m, write an equation for their total if it equals 150.

• 5m + 10 = 150

• 6m + 20 = 150

• 7m + 5 = 150

• 6m + 15 = 150