Question

A sum of rs.1710 is divided in A,B , 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

Answer 1

The difference between A and C is 450.

Step-by-step explanation:

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 = $\frac{K}{4}$, B = $\frac{K}{6}$ and C = $\frac{K}{9}$

Hence, from equation (1) we get.

$\frac{K}{4} + \frac{K}{6} + \frac{K}{9} = 1710$

⇒ $K(\frac{9 + 6 + 4}{36}) = 1710$

⇒ $\frac{19K}{36} = 1710$

⇒ K = 3240

Hence, A = $\frac{K}{4}$ = 810

B = $\frac{K}{6}$ = 540 and

C = $\frac{K}{9}$ = 360

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