Math Drills
Sum and Difference Problems
3Word 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 Riley decided on in a number-guessing game. The sum of the 2 numbers is 80, and the difference is 16. Work out what the smaller number is. Answer □
Answer: 32
(2)There are 2 numbers that Olivia featured in the quiz corner of the class newspaper. The sum of the 2 numbers is 92, and the difference is 28. What is the larger number? Answer □
Answer: 60
(3)There are 2 numbers that Chloe came across in her math homework. The sum of the 2 numbers is 70, and the difference is 12. What is the larger number? Answer □
Answer: 41
(4)There are 2 numbers that Sam thought of for a class riddle. The sum of the 2 numbers is 60, and the difference is 10. What is the larger number? Answer □
Answer: 35
(5)There are 2 numbers that Grace thought of while having a meal with her family. The sum of the 2 numbers is 56, and the difference is 14. What is the smaller number? Answer □
Answer: 21
(6)There are 2 numbers that Ethan tackled in puzzle club. The sum of the 2 numbers is 78, and the difference is 18. What is the smaller number? Answer □
Answer: 30
