Question

The two no are in ratio 3:4 and product of their lcm and hcf is 2028 what are the numbers

Answer 1

Answer:

divide and multiply the number

Answer 2

Given:-

• Ratio of numbers = 3:4

• Multiplication of HCF and LCM = 2028

Suppose:-

The numbers are 3x and 4x

Then:-

LCM will be 12x and HCF will be x

According to Question:-

➟ x * 12x = 2028

➟ 12x² = 2028

➟ x² = 2028/12

➟ x² = 169

➟ x = √169

➟ x = 13

Hence:-

First number, 3x = 3 x 13 = 39

Second Number, 4x = 4 x 13 = 52

Now:-

Required addition of numbers will be as

➟ 52 + 39

➟ 91

Therefore:-

Required answer is 91.