A number consists of two digits, the sum of the digits being 12. If 18

1.	A number consists of two digits, the sum of the digits being 12. If 18 is subtracted from the number, the digits are reversed. Find the number
Answer» Let the two digits number be 1y + x Then, equations formed are 10y + x - 18 = 10x + y => y - x = 2 ......(i) and x + y = 12 ......(ii) On solving eq. (i) & (ii) we get x = 5 and y = 7 Hence number is 75.

A number consists of two digits, the sum of the digits being 12. If 18 is subtracted from the number, the digits are reversed. Find the number

Answer»

Let the two digits number be 1y + x

Then, equations formed are

10y + x - 18 = 10x + y => y - x = 2 ......(i)

and x + y = 12 ......(ii)

On solving eq. (i) & (ii) we get

x = 5

and y = 7

Hence number is 75.