Four numbers are in the ratio of 16 : 10 : 9 : 17 respectively. If the sum of these four numbers is 6292, then what is the sum of the first and the third number?​

Correct option is A

Given:

The ratio of four numbers is 16 : 10 : 9 : 17;

The sum of these four numbers is 6292;

Required: Sum of the first and third number.

Solution:

The numbers are in the ratio 16 : 10 : 9 : 17

So, let the four numbers be 16x, 10x, 9x, 17x

Now, 

16x + 10x + 9x + 17x = 6292

52x = 6292

x = $$\frac{6292}{52}$$​ = 121

Now, the sum of the first and third number:

16x + 9x = 25x = $$25 \times 121$$​ = 3025