Math, asked by ajayrajbhai91, 10 hours ago

Two numbers have a ratio of 3 : 5 and their

least common multiple is 300. What is the

smallest number among them ?​

Answers

Answered by Anonymous
3

Answer :

  • Smallest number is 60

Given :

  • Two numbers have a ratio of 3 : 5
  • LCM = 300

To find :

  • Smallest number

Solution :

  • Let the smaller number be x

Given, Two numbers have ratio of 3 : 5 so,

  • Let the two numbers be 3x and 5x

LCM of 3 and 5 :

  • LCM of 3 and 5 = 3 × 5 × x = 15x

Given, LCM = 300

According to question :

➟ 15x = 300

➟ x = 15/300

x = 20

Finding the smallest number :

➟ 3x

➟ 3(20)

60

➟ 5x

➟ 5(20)

100

Hence,Smallest number is 60

Verification :

➟ 15x = 300

➟ 15(20) = 300

300 = 300

Hence Verified

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