Four different digits from 1 to 9 are required to open a safe. The sum of the digits is 20. The first digit is greater than the third. The second and fourth digits differ by at least 5. Exactly two digits are squares. The first and fourth digits add up to a prime number. The fourth digit is the lowest. Can you find the four-digit combination?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Polya 4
Four different digits from 1 to 9 are required to open a safe.
- The sum of the digits is 20.
- The first digit is greater than the third.
- The second and fourth digits differ by at least 5.
- Exactly two digits are squares.
- The first and fourth digits add up to a prime number.
- The fourth digit is the lowest.
Can you find the four-digit combination?
Please use Pólya's 4 step process to solve. Label each step (1-4 with the title) and clearly describe what you did on each step.
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