Question

11. Two numbers are in the ratio 3 : 4 and their sum is 84. Find the numbers.​

Answer 1

Answer:

The numbers are 36 and 48.

Given:

Two numbers are in the ratio 3:4 and their sum is 84.

To find:

What are the numbers?

Solution:

Let the one number be 3x.

And the other number be 4x.

Sum of the numbers = 84.

=> 3x+4x = 84

=> 7x = 84

=> x = 84/7

=> x = 12.

Hence, the one number = 3x = 3×12 = 36.

And the other number = 4x = 4×12 = 48.

Verification:

Sum of the numbers = 84

=> 36+48 = 84

=> 84 = 84

Here, LHS = RHS.

Hence, verified.