The sum of the digits of a two-digit number is 12. The numberobtained

1.	The sum of the digits of a two-digit number is 12. The numberobtained by interchanging its digits exceeds the given number by 18.(CBSE 2006]
Answer» Let the tens digit is x and unit digit is y The number is 10 x + y 10 x + y +18 = 10 y + x 9 x - 9 y = -18 x - y = -2 ………(1) x + y = 12….(2) 2 x = 10 Therefore x =5 From equation 2, 5 + y - 12 Therefore y = 7 The number is10*5+7= 57 hit like if you find it useful

The sum of the digits of a two-digit number is 12. The numberobtained by interchanging its digits exceeds the given number by 18.(CBSE 2006]

Answer»

Let the tens digit is x and unit digit is y

The number is 10 x + y

10 x + y +18 = 10 y + x

9 x - 9 y = -18

x - y = -2 ………(1)

x + y = 12….(2)

2 x = 10 Therefore x =5

From equation 2, 5 + y - 12 Therefore y = 7

The number is10*5+7= 57

hit like if you find it useful