Question

The lcm of two numbers is 19380 and their ratio is 51:95 what will be the sum of the two numbers?

Answer 1

let their common multiple is x and their HCF is x

so

51x × 95x = LCM × HCF

$4845x {}^{2} = 19380x$

x = 19380x / 4845x

x = 4

putting values of x

51x = 51 × 4= 204

95x = 95 × 4 = 380

Hence numbers are 204 and 380.

Sum = 204 + 380

Sum = 584


Thanks

Answer 2

Answer:

584

Step-by-step explanation:

Given The lcm of two numbers is 19380 and their ratio is 51:95 .

Let the common number be x.

So the first number will be 51 x and the second number will be 95 x

The LCM of both the numbers (51 x, 95 x) will be (51 x 95)x = 4845 x

Now LCM = 19,380

4845 x = 19,380

 x = 19,380 / 4845

 x = 4

Substituting the value of x we get

51 x = 51 x 4 = 204

95 x = 95 x 4 = 380

Therefore sum of two numbers will be 204 + 380 = 584