Question

The ratio of two numbers is 5/22. The product of the numbers is 440. Find all possible pairs of numbers.

Well to me it seems like the only possible pair of numbers is 10 and 44? Anybody else have any ideas? I don't know if it's a trick question or not.

Answer 1

5/22*2 implies 10/44 and 10*44=440
The question reflects prime factorization
440=10*44=2*5*11*2*2=2^3*5*11
5/22 is the ratio so you'd have to try all multiples
5/22 * 2 works and is consequently the only solution