Question

Two numbers are in the ratio of 3:4. The product of their HCF and lcm is 2028. The sum of the number will be

Answer 1

Step-by-step explanation:

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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.