What are two numbers between 30 and 40 with a product of 1224?

Answer 1

As the last digit of the two numbers must multiply to give a 4, there are 5 possible values for the last digits:

{1, 4}, {2, 2}, {2, 7}, {3, 8}, {4, 6}

As there is no 0 in these pairs, the first digit must be a 3, so trying the pairs in order gives:

31 × 34 = 1052 - No

32 × 32 = 1024 - No

32 × 37 = 1184 - No

33 × 38 = 1254 - No

34 × 36 = 1442 - Yes

This the required two numbers are: 34 and 36.

Answer 2

34 and 36.