Question

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?

Answer 1

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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