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?
Answer & explanation
Correct answer: option 1
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