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7. The H.C.F. of two numbers is 145 and their L.CM. is 2175, If one of the numbers is 435, find the other number​

Answer»

Answer:

SOLUTION

Step-by-step explanation:

Relation between HCF and LCM of

two numbers a and b is

Product of two numbers = HCF × LCM

____________________________

According to the given problem

HCF = 145 ,

LCM = 2175,

One NUMBER = a = 725

Let the second number = b

a × b = HCF × LCF

b = ( HCF × LCM ) / a

b = ( 145 × 2175 )/ 725

b = ( 145 × 3 × 725 )/ 725

After CANCELLATION ,

b = 145 × 3

b = 435

Therefore ,

Second number = b = 435

I hope this HELPS you.


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