Question

The ratio between two numbers is 3:4.If their LCM is 192,then find the numbers.​

Answer 1

Answer:

given, ratio between two numbers = 3:4

let the numbers be 3x and 4x

clearly x is the HCF of the two numbers

now we know that, for two numbers

LCM * HCF = product of numbers

192 * x = 3x * 4x

12x^2 = 192x

12x = 192. ( x is not zero)

x = 192/12 = 16

hence the numbers are

3x = 3*12 = 36

4x = 4*12 = 48

Answer 2

Step-by-step explanation:

Let the ratio be x

therefore, 3x *4x=192

12x=192

x=192/12

x=16

the NUMBERS are

3*16=48

4*16=64

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and here is the verification to the answer: