Question

the product of 2 two digit numbers is 300 and hcf is 5 then the numbers

Answer 1

The product of two number is always equal product of H.C.F and L.C.M. L.CM is always factor of H.C.F. To find L.C.M, when product of two numbers are given and H.C.F of that number

Product of two number = L.C.M ×H.C.F

300 =L.C.M × 5

300/5 = L.C.M

60 = L.C.M

L.C.M of two numbers is 60

Answer 2

there are two methods to solve find these numbers i will tell you an easy trick

the two numbers are 15 and 20

we can check 15*20=300

and two numbers 15 and  20 have common factor of 5

as we can clearly see

15=5*3

20=5*4

both number have hcf (common factor) 5

so the numbers are  15 and 20