## Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Then the numbers are: (

Question

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## Answers ( )

Answer:(C) 40,48Explanation:According to given information

x/y=5/6

=> 6x-5y=0 ……..(I)

x-8/y-8=4/5

=> 5x-40=4y-32

=> 5x-4y=8 ………..(II)

from eq. (I)

6x-5y=0

=> x=5y/6

substituting in……(II)

5x-4y=8

=>5[5y/6]-4y=8

=>y/6=8

=>y=48

THEREFORE

x=5y/6

=>x=5×48/6

=> x=40

Answer:Two numbers are in the ratio 5 : 6Let5x,6xbethetwonumbersThenbythegivencondition(5x–8):(6x–8)=4:5➙( 5x – 8)/( 6x – 8) = 4/5➙25x–40=24x–32➙25x–24x=40–32➙x=8Sothe requirednumbersare(5×8)=40&(6×8)=48