Correct Answer - Option 1 : 3 : 5
Given:
LCM of two numbers is 15 times their HCF. The HCF of those two numbers are 14 and one of those numbers is 70.
Concept Used:
LCM × HCF = 1st number × 2nd number
Calculation:
The HCF of those two numbers is 14 and the LCM of those two numbers is 15 times their HCF.
⇒ LCM of those two number is 15 × 14
Let, the other number is p
Accordingly,
15 × 14 × 14 = 70 × p
⇒ p = (15 × 14 × 14)/70
⇒ p = 42
The ratio of the smaller number to the bigger number is 42 : 70 = 3 : 5
∴ The ratio of the smaller number to the bigger one is 3 : 5.