Question 8

# The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of two numbers is 1 : 4, then the larger among two numbers is:

Solution

Let the two numbers be $$x$$ and $$4x$$

=> $$x\times4x=84\times21$$

=> $$x^2=(21)^2$$

=> $$x=21$$

$$\therefore$$ Larger number = $$4\times21=84$$

=> Ans - (D)