Maths Mate Term 3 Sheet 2 Problem Solving

Predict: I predict that this question is about finding the value of two numbers that add up to a certain value.

Read: Carl looked at the page numbers on the open book in front of him. The left and right page numbers added to 333. What were the numbers?

Clarifications: None

BIG question: What are the numbers?

Solution: Our two consecutive numbers have to add up to a number in the three – hundreds. Two equal numbers that add up to 300 is 150. Now we need to work with our remaining 33. 33 is in the 30s. So two equal numbers that add up to 30 is 15. Now we need to work with our three. We need two consecutive numbers that add up to 3. Those numbers are 1 and two. Now we have to add two sets of numbers:

1st set – 150 + 15 + 1

2nd set – 150 + 15 + 2
If we  add these together, we end up with our two consecutive numbers, 166 and 167.

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