Question

The sum are in the ratio of 3:4 the product of their lcm and hcf is 2028

Answer 1

Answer:

Let the numbers be 3x and 4x.

LCM(3x,4x)×HCF(3x,4x) = 2028.

Product of the LCM and HCF of two numbers is equal to the product of the two numbers.

So, 3x × 4x = 2028.

12x^2 = 2028,

x^2 = 2028/12 = 169.

x = √169 = 13.

So,the numbers are 13×3 + 13×4

Numbers are 39 and 52.

Their sum is 39+52 = 91

Answer: 91

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