Finding Two Numbers Equation Word Problems

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

• 35,39

• 35,60

The larger of two numbers is seven less than three times the smaller number. If the sum of the numbers is 61, find the numbers.

• 17,55

• 17,44

The larger of two numbers is one more than four times the smaller number. If the sum of the numbers is 106, find the numbers.

• 21,85

• 21,75

The highest score on an Algebra test was 42 points more than the lowest. When added together, the lowest and highest score was 154. Find both the highest and lowest score

• 56,99

• 56,98

Three consecutive even integers are such that the sum of the smallest and 3 times the second is 38 more than twice the third.  Find the largest integer.

• 20
• 22
• 24
• 26

Find three consecutive odd integers whose sum is -45.

• -15, -17, -19
• -17, -18, -19
• -13, -15, -17

Find four consecutive odd integers whose sum is 128.

• 32, 34, 37, 38
• 27, 29, 31, 33
• 29, 31, 33, 35
• 25, 27, 29, 31

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.

• 68

• 47

• 84

• 20