Question

If the ratio of two numbers is 4:5 nd its LCM is 120. Then find out the difference between them..

Hurry up...guys!!!

Nd plz...No msti jisse aata whi answer kre. otherwise mra frnd moderator h id delete ho jaegii... Serious....​

Answer 1

Answer :

Let the two numbers be 4x and 5x respectively.

According to the question ;

LCM (4x, 5x)= 120

⇒ 4x * 5x = 120

⇒ 20x² = 120

⇒ x² = 120 /20

⇒ x² = 6

⇒ x = ± √6

Two numbers are ;

4x = 4 * √6 = 4√6

5x = 5 * √6 = 5√6

Hence, two numbers are 4√6 and 5√6.

Verification,

We know that ;

Product of numbers = LCM

⇒ 4√6 * 5√6 = 120

⇒ 120 = 120

            Verified.