The ratio between 2 numbers is 3 : 4 and their sum is 420. The greater of the two number is:

Question: The ratio between 2 numbers is 3 : 4 and their sum is 420. The greater of the two number is:

Solution:
Given that,
The ratio between the two numbers is 3 : 4, and their sum is 420.
Let the two numbers be 3x and 4x.

According to the question,
3x + 4x = 420
⇒ 7x = 420
⇒ x = 420/7
∴ x = 60
The greater number is 4x = 4 × 60 = 240

So, the greater of the two numbers is 240.