Question

Two numbers are in the ratio 2:3 there l.C.M is 72 h.C.F

Answer 1

Answer:

HCF*LCM=product of two numbers

HCF*72. =2x*3x

HCF*72. =6x

HCF. =72/6

HCF. =12

Answer 2

The HCF is 12.

Step-by-step explanation:

Given : Two numbers are in the ratio 2:3 there l.C.M is 72.

To find : The H.C.F ?

Solution :

Let the ratio number be 'x'.

The numbers are 2x and 3x.

The LCM is 72.

The HCF is the highest common factor of 2x and 3x i.e. x.

Now we know that,

$\text{Product of two numbers}=HCF\times LCM$

$2x\times 3x=x\times 72$

$6x^2=72x$

$x=\frac{72}{6}$

$x=12$

The numbers are 24 and 36.

Therefore, the HCF is 12.

#Learn more

The product of two numbers is 432 and their l.c.m is 72.Find their h.c.f

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