The Least Common Multiple and Highest common Factor of two numbers are 30 and 5 respectively. If their sum is 25, then what will be the difference of these two numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 5.
| Understanding/Application |
|
Let the two numbers be a and b. We know that Product of two numbers = Product of their LCM and HCF. Then, ab = 30(5) = 150 a + b = 25 (a - b)2 = (a + b)2 - 4ab = 252 - 4(150) = 625 - 600 (a - b)2 = 25 |
| (a - b) = 5 |