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

Solution

D. 91

Explanation

HCF * LCM = Product of two numbers --eqn (1) Given HCF * LCM =2028 Ratio of numbers =3:4 Thus the numbers be 3x and 4x, Substituting the above in eqn (1), 2028 = 3x*4x = 12x2 x2 = 2028/12=169 x = √169=13 The numbers are 3×13 and 4×13 The numbers are 39 and 52. Sum of the numbers is 39+52=91