Question

Rs. 600 are divided among A, B, C so that Rs. 40 more than 2/5 th of A's share, Rs. 20 more than
2/7 th of B's share and Rs. 10 more than 9/17 th of C's may all be equal. What is A's share in
Rupees)?
​

Answer 1

math easy answer by palak mirwal

Answer 2

Answer:150

Step-by-step explanation:

Let A, B and C denote A’s, B’s and C’s shares respectively.

A + B + C = 600

Given that,

A × (2/5) + 40 = B × (2/7) + 20 = C × (9/17) + 10

Consider,

A × (2/5) + 40 = B × (2/7) + 20

⇒ B = A × (7/5) + 70

Now consider,

A × (2/5) + 40 = C × (9/17) + 10

⇒ C = A × (34/45) + (170/3)

∵ A + B + C = 600

⇒ A + A × (7/5) + 70 + A × (34/45) + (170/3) = 600

⇒ A × (1 + 7/5 + 34/45) = 1420/3

⇒ A × (142/45) = 1420/3

⇒ A = Rs.150