1. The product of 2-digit numbers is 5925. If the product of their units digits is
45 and that of their tens digits is 21. Find the numbers.
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Answer:
The digits are 37 and 45
3 and 4 should be in units place, but the reverse combination satisfied the answer.
It is given that the product of tens digits is 12
This means all the possible factors of 12 which are 1,2,3,4,6,12. The product of 1,12 2,6 3,4 4,3 6,2 12,1 gives the product of 12
And the product of units giving us 35
Factors: 1,5,7,35. The product of 1,35 5,7 7,5 35,1 gives you the product of 35
Therefore the perfect combination is 37*45
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