Two numbers are in the ratio of 5:8.If 24is subtracted from each the new number are in the ratio 11:32.The greatest number is
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let the no. be x
the two no. are 5x and 8x
According to the condition,
5x-24/8x-24=11/32
32(5x-24)=11(8x-24)
160x-768=88x-264
160x-88x=-264+768
72x=504
x=7
8x=8.7
8x=56
the greatest no.is 56
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