the digit at the ten's place of a two digit number is 4 times that in the unit's place. if the digits are reversed, the new number will be 54 less than the original number find the original number. check your solution
hementkumarsachdeva:
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Answered by
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Let the unit digit of original no. is y and ten's digit is x
hence the two digit no.= 10x+y
now according to the question
x=4y.................(1)
if the digits are reversed the new no. become 10y+x
Hence
10y+x=10x+y-54.............................(2)
Put the value of x from 1 in 2 we get
10y+4y=40y+y-54
27y=54
y=2
Therefore x=8
Hence the original no. = 10*8+2= 82
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