Math Drills
Sum and Difference Problems
2Word Problems
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What this worksheet covers
- Worksheet
- Sum and Difference Problems
These word problems know only the total of two numbers and the gap between them. Sum and Difference asks for the greater and the lesser separately, in scenes of ages, of numbers of people and of lengths. The pairs are built so that both come out even or both come out odd.
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The two numbers in the answer come back to the total in the question when added and to the difference when subtracted. The greater is the total plus the difference, halved. Items appear where that halving is lost and the total and the difference merely added are written as the answer. Adding the two answers together is enough to notice.
As far as Price Word Problems the shapes gave one answer if the calculations were done in order. This lesson settles two numbers at once from the two clues of a total and a difference. That way of thinking is used over and over in the word problems of the grades above.
- Sum and Difference6 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Various Word Problems”, shown with their answers.
(1)There are 2 numbers that Noah jotted down in his math notebook. The sum of the 2 numbers is 96, and the difference is 22. What is the larger number? Answer □
Answer: 59
(2)There are 2 numbers that Noah wrote in his notebook. The sum of the 2 numbers is 120, and the difference is 40. What is the larger number? Answer □
Answer: 80
(3)There are 2 numbers that Chloe thought of as a riddle at home. The sum of the 2 numbers is 108, and the difference is 36. Work out what the larger number is. Answer □
Answer: 72
(4)There are 2 numbers that Hannah thought up in a number-guessing quiz. The sum of the 2 numbers is 74, and the difference is 18. What is the larger number? Answer □
Answer: 46
(5)There are 2 numbers that Hannah made into a quiz at a class meeting. The sum of the 2 numbers is 84, and the difference is 20. What is the smaller number? Answer □
Answer: 32
(6)There are 2 numbers that Grace used in a quiz. The sum of the 2 numbers is 50, and the difference is 6. What is the smaller number? Answer □
Answer: 22
