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Question
The product of the two numbers is 528. If the product of their unit’s digits is 8 and the product of their ten’s digits is 4; find the numbers.
Solution
The unit digits of the numbers must satisfy a × b = 8.
The possible pairs for the unit digits (a, b) are:
(1, 8), (2, 4), (4, 2), (8, 1)
The tens digits of the numbers must satisfy: x × y = 4.
The possible pairs for the tens digits (x, y) are:
(1, 4), (2, 2), (4, 1).
Form the possible numbers using the tens and unit digit combinations and calculate their product to match 528
Check combinations:
- 12 × 44 = 528
- 44 × 12 = 528
Verify
- The unit digits 2 × 4 = 82 (satisfied).
- The tens digits 1 × 4 = 41 (satisfied).
The two numbers are: 12 and 44.
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