In a two digit number, the tens digit is twice the unit digit. When the digits are reversed, the new number formed is 18 less than the original number. The original number is
Answers
Answered by
0
Given:
The tens digit of a two digit number is twice of its units digit
On reversing the digits, the number formed is 27 less than the original number
To find: the original number
Solution:
Let the digits in units and tens places be x and y.
Then the number is y + 10x
When the digits are reversed, the number becomes x + 10y
By the given conditions,
y = 2x ... ...(i)
y + 10x = x + 10y - 27
or, 2x + 10x = x + 10 * 2x - 27 [using (i)]
or, 12x = x + 20x - 27
or, 21x - 12x = 27
or, 9x = 27
or, x = 3
Putting x = 3 in (i), we get
y = 2 * 3
or, y = 6
Thus the original number is
y + 10x = 6 + 10 * 3 = 6 + 30 = 36
Answer: the original number is 36
Similar questions