Problem 4 · 2022 Math Kangaroo
Easy
Algebra & Patterns
substitution
Which two numbers can replace the two boxes in 2022 + □ = 2020 + □ to make it true?
Show answer
Answer: A — 3 and 5
Show hints
Hint 1 of 2
The left side already starts 2 bigger than the right side (2022 vs 2020).
Still stuck? Show hint 2 →
Hint 2 of 2
So the number you add on the right must be 2 more than the number you add on the left.
Show solution
Approach: balance the equation
- Since 2022 is 2 more than 2020, the right box must hold 2 more than the left box.
- Among the pairs, 3 and 5 differ by 2 (add 3 on the left, 5 on the right).
- Check: 2022 + 3 = 2025 and 2020 + 5 = 2025.
- So the answer is 3 and 5.
Mark:
· log in to save