The ratio of the LCM of two numbers to the sum of the same two numbers is 12 : 7. If their HCF is 4, what is the product of these two numbers?

192

The product of two numbers = LCM of the two same numbers

The product of two numbers = 12 = 4 × 3

Sum = 7

4x + 3x = 7

x = 1

so the numbers are 4 and 3

HCF is 4

First number = 4 × 4 = 16

Second number =  4 × 3 = 12

Product =  16 × 12 = 192