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The product of two numbers is 6300 and their HCF is 15. If none of the numbers is less than 30, what is the sum of these two numbers?
1. 75
2. 100
3. 150
4. 165

1 Answer

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Best answer
Correct Answer - Option 4 : 165

Calculation:

HCF of these number is 15

So, let assume that number is 15x 

and other number is 15 y

According to question

⇒ 15x × 15y = 6300

⇒ xy = 28

Factors of 28 are

28 × 1 = 28

14 × 2 = 28

7 × 4 = 28

So, 

Numbers are

15 × 7 = 105

15 × 4 = 60 

∴ Sum of numbers is 105 + 60 = 165

The correct option is 4 i.e. 165

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