Two numbers are in the ratio 7 : 11. If their HCF is 28, then the sum of the two numbers is:

504 196 308 112

504

Let the numbers be 7x and 11x. Add the numbers: ⇒ 7x + 11x ⇒ 18x Now see, the final number must be the factor of 18, so in options only 504 is multiple of 18.