When 75% of a two digit number is added to it the digits of the numbers are reversed.Find the ratio of the unit digit to the ten figit?
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Let x be the digit on the tens place and y be the digit on the unit place of the number,
Thus, the original number = 10 x + y,
After reversing the digit, the new number = 10 y + x,
According to the question,
Original number + 75 % of original number = New number
⇒ ( 10x + y ) + 75 % of (10x + y) = 10y + x
⇒ 10x + y + 0.75(10x+y) = 10y + x
⇒ 10x + y + 7.5x + 0.75y = 10y + x
⇒ 16.5x = 8.25y
Thus, the ratio of unit digit to the ten's digit in the original number is 2 : 1
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