1.

Three people, A, B and C, share $416 among themselves. A receives $169 and Breceives $156. Find the ratio in which the sum of money is shared.

Answer»

Answer:

Let the TOTAL amount be Rs. p.

Let SHARES of A and B be Rs. x and Rs. y respectively.

C’s share was Rs. 14

we have, x + y + 14 = p —– (1)

From the GIVEN data, x = (p/2) – 4 —– (2)

Remaining amount = p – (p/2 – 4) => p/2 + 4.

y = 1/2(p/2 + 4) + 8 => p/4 + 10 —– (3)

From (1), (2) and (3)

p/2 – 4 + p/4 + 10 + 14 = p

3p/4 + 20 = p

p/4 = 20 => p = Rs. 80..

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