Question

15. The sum of two numbers is 2490. If 6.5% of
one number is equal to 8.5% of the other, the
greater number is:
(Railways, 2006)​

Answer 1

Answer:

Step-by-step explanation:

Let the two nos. be x and y respectively.

It is given that x + y = 2490            ...(i)

Also, (6.5/100)x = (8.5/100)y

Upon solving the above equation, you will get

13x = 17y

or, x = 17y/13                                    ...(ii)

Now, putting the value of x in terms of y from equn. (ii) to (i)

(17y/13) + y = 2490

or, 30y = 32370

or, y = 1079

Putting this value in equn (ii), you'll get

x = 1411

Therefore, the greatest of the two nos. is 1411 which will be your answer.

Cheers!