Question

the H.C.F of two numbers is 24 and their L.C.M is 144. If one of the numbers is 48, find the other number.(pls send the step by step explanation)

Answer 1

Answer:

given, H.C.F = 24

L.C.M = 144

one number= 48

Step-by-step explanation:

let other number be x

we know that

H.C.F ×L.C.M =product of two numbers

24×144 = 48× x

24×144 / 48 =x

144 = x

Answer 2

AmswEr:-

Your Answer is 72.

ExplanaTion:-

Given:-

• HCF of two numbers = 24.

• LCM of these numbers = 144.

• One number = 48.

To Find:-

• The another number.

Concepts Used:-

$\\ \tt\rightarrow HCF\times LCM = Product \:\:Of\:\:two\:\:Numbers.$

Now,

Let the another number be x.

Therefore by applying above Concept we get,

$\\ \tt\mapsto HCF\times LCM = Product \:\:Of\:\:two\:\:Numbers. \\ \\ \tt\mapsto24 \times 144 = 48 \times x. \\ \\ \tt\mapsto48x = 3456. \\ \\ \tt\mapsto x = \frac{3456}{48} . \\ \\ \tt\mapsto x = 72.$

$\tt\therefore$ The another number is x = 72.