Two numbers are in the ratio of 2 : 3. The product of their LCM and HCF is 7350. The difference between the two numbers is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 35
Formula used:
LCM × HCF = 1st number × 2nd number ---- (1)
Calculations:
Let the two numbers be 2x and 3x
Using equation (1), we get
⇒ 7350 = 2x × 3x
⇒ 6x2 = 7350
⇒ x2 = 1225
⇒ x = 35
Difference = 3x - 2x = x = 35