The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, the larger number is:
Show answer & explanation
Correct answer: D
Explanation
Given:
LCM = 84
HCF = 21
Ratio = 1 : 4
Formula:
Product of two numbers = LCM × HCF
Let the numbers = x and 4x
x × 4x = 84 × 21
4x² = 1764
x² = 441
x = 21
Numbers = 21 and 84