1.

The Product of LCM and HCF of two numbers is 2500. The ratio of two numbers is 4 : 1. What is the difference of the two numbers?1. 1252. 503. 844. 75

Answer» Correct Answer - Option 4 : 75

Given:

LCM × HCF = 2500

The ratio of two numbers is 4 : 1

Concept used:

LCM × HCF = product of two numbers

Calculation:

Let the numbers is 4x and x

By formula,

2500 = 4x × x

⇒ 2500 = 4x2

⇒ x2 = 625

⇒ x = 25

The difference of the two numbers = 4x - x = 3x

∴ Difference is 3 × 25 is 75.



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