Mathematics Problem Solving

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers.

• 31 and 43

• 30 and 44

• 32 and 42

• 33 and 41

The larger of two numbers is 10 less than twice the smaller number. If the sum of the two numbers is 38, find the two numbers.

• 14 and 24

• 16 and 22

• 12 and 26

• 15 and 23

The number of years that Brad has been on the soccer team is 2 less than 5 times the number of years that Scott has. In total, the boys have been on the soccer team for 10 years. How long has Brad been on the soccer team?

• 8 years

• 6 years

• 4 years

• 5 years

There are 10 less trumpet players than saxophone players. The number of saxophone players is 3 times the number of trumpet players. How many trumpet players are there?

• 5 trumpet players

• 10 trumpet players

• 15 trumpet players

• 20 trumpet players

The length of a rectangle is 5 less than twice its width. The perimeter is 26 meters. Find the dimensions of the rectangle.

• Width = 4, Length = 3

• Width = 6, Length = 7

• Width = 5, Length = 10

• Width = 6, Length = 8

Find two consecutive numbers whose sum is 115.

• 56 and 57

• 57 and 58

• 58 and 59

• 59 and 60

Find two consecutive odd numbers whose sum is 144.

• 71 and 73

• 69 and 71

• 70 and 72

• 72 and 74

Find two consecutive even numbers whose sum is 126.

• 62 and 64

• 60 and 62

• 64 and 66

• 61 and 63

Find three consecutive numbers whose sum is 84.

• 27, 28, 29

• 28, 29, 30

• 26, 27, 28

• 25, 26, 27

Find three consecutive even integers such that the sum of the smallest number and twice the middle number is 20 more than the largest number.

• 10, 12, 14

• 12, 14, 16

• 14, 16, 18

• 16, 18, 20