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Question

64 gold coins must be distributed between 2 people (A and B) such that 15th of the number of gold coins received by A is equal to 13rd of the number of gold coins received by B. What is the number of gold coins received by A and B?

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Solution

The correct option is **D** A - 40, B - 24

If the number of coins received by A is taken as x, then the number of coins received by B will be 64−x

Now we know that 15th of the number of coins received by A is equal to 13rd of the number of coins received by B,

Hence 15×x=13×(64−x)

x5=64−x3

3×x=5×(64−x)

3x=320−5x

8x=320

x=3208=40

Hence, A gets 40 coins

Number of coins received by B = 64 - x = 64 - 40 = 24

If the number of coins received by A is taken as x, then the number of coins received by B will be 64−x

Now we know that 15th of the number of coins received by A is equal to 13rd of the number of coins received by B,

Hence 15×x=13×(64−x)

x5=64−x3

3×x=5×(64−x)

3x=320−5x

8x=320

x=3208=40

Hence, A gets 40 coins

Number of coins received by B = 64 - x = 64 - 40 = 24

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