Two numbers are in the ratio 3:4. The product of their HCF and LCM is 2028. The sum of the numbers is = ?

Explanation:-

Let the numbers are = 3x, 4x respectively
∴ HCF = x
LCM = 3 × 4x × x = 12x
given that = HCF × LCM = x × 12x = 2028
12x² = 2028
x² = 169
x = 13
∴ sum of numbers = 3x + 4x
= 7x
= 7x = 7 × 13
= 91