Question

35. A sum of 1,710 is divided in A, B
and C such that 4 times of A, 6 times
of B and 9 times of C are equal. What
is the difference between A and C ?
(1) 360
(2)
450
(3)
* 480
(4)
*540
short cut method​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

The difference between A and C is 450.

Let, A + B + C = 1710 ........... (1)

Now, given that 4 times of A, 6 times of B and 9 times of C are equal.

So, 4A = 6B = 9C = K say.

So, A =k/4 , B =  k/6 and C = k/9

Hence, from equation (1) we get.

k/4 + k/6+ k/9=1710

k(9+6+4)/36=1710

19k/36=1710

K = 3240

Hence, A = k/4 = 810

B = k/6 = 540 and

C =k/9  = 360

Therefore, the difference between A and C is (810 - 360) = 450