The ratio of two numbers is 2 : 3 and their product is 726. The smallest number between the two numbers is-

Question: The ratio of two numbers is 2 : 3 and their product is 726. The smallest number between the two numbers is-

Solution:
Given that,
Ratio of two numbers is 2 : 3 and Their product is 726.

Let the numbers be 2n and 3n.

So according to the question :
⇒ 2n × 3n = 726
⇒ 6n² = 726
⇒ n² = 726/6
⇒ n² = 121
⇒ n = √121 [Ignoring the negative value]
∴ n = 11

Now,
Smaller number = 2n = 2 × 11 = 22
Larger number = 3n = 3 × 11 = 33

Therefore, Smaller number is 22.