Question

The hcf and lcm of two numbers are 45 and 270 respectively. If the ratio of the two numbers is 2:3 and smaller of the two numbers is X theb find X^2 ??

Answer 1

Answer:

X² = 8100

Step-by-step explanation:

Since the two number are in ratio 2:3, let us assume that the two numbers are 2a, 3a.

We know that

product of two number = HCFxLCM

⇒ 2a * 3a = 45* 270

⇒ 6a² = 45*270

⇒ a² = 45*270/6 = 45*45 = 45²

⇒ a = 45

The smaller number X = 2a

⇒ X = 2*45

⇒ X = 90

⇒ X² = 90*90

X² = 8100