a number consists of two digits the digit at the tenth place is twice that of the digit at the unit place. If 18 is subtracted from the number, the digit are reversed.find the number
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Answered by
2
Answer:
Let the one's place be y and tens digit be x.
then, Number = 10x + y.
∴ Given, (x) = 2y ∴5x=2y⋯(i)
But, if 18 is subtracted, then, number gets reversed
ie. 10y + x.
∴(10x+y)−18=10y+x
⇒10x+y−18=10y+x
⇒10x−x+y−10y−18=0
⇒9x−9y−18=0
⇒x−y−2=0 Putting [y=
2
5x
]
⇒x−
2
5x
−2=0
⇒2x−x−2=0 ∴y=
2
x
y = 1
⇒x=2
∴ Number = 21
Answered by
5
Answer:
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