Question

If the LCM of two numbers is 144 and their HCF is 24 such that one of the number is 48 then other number is

Answer 1

Answer:

Second number = 72

Step-by-step explanation:

Given:

LCM = 144

HCF = 24.

One number = 48

Second number = ?

Let the second number be X.

Now,

LCM × HCF = Products of number.

144 × 24 = 48 × X

X = 144× 24/48

X = 72.

Hope it helps you.

Answer 2

Given:

One of the two numbers is 48.

H.C.F (highest common factor) = 24

L.C.M (Least Common Multiple) = 144

To find:

The value of the second number.

Solution:

We know that the relation between two numbers, H.C.F and L.C.M is,

H.C.F * L.C.M = Product of two numbers

Let us take the second number as X.

By putting the values of the given number, H.C.F, and L.C.M in the above relation,

24 × 144 = 48 × X

X = (24 × 144)/ 48

X = 72

Hence, The value of the second number is 72.