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.

Answer 1

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:

1. 12 × 44 = 528
2. 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.