64 coins is distributed between 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. How do we represent this using a linear equation in single variable?
A
x3=64−x5
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B
x+645=64−x3
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C
x64=5−x3
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D
x5=64−x3
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Solution
The correct option is Dx5=64−x3 Number of coins received by A = x Hence, the number of coins received by B will be 64−x Now 15th of the number of coins received by A = 15timesx=x5 and 13rd of the number of coins received by B = 13times64−x3 Since the above two quantities are equal, x5=64−x3