Question

the sum of digits of a two - digit number is 14 . the given number is less than the number obtained by interchanging the digits by 18 . find the age.?​

Answer 1

Step-by-step explanation:

answer is 68 ........hey friend y u wrote find the age .....there i think it may be find orignal number .....

Answer 2

Step-by-step explanation:

Let ten's digit be 'x' and one's digit be 'y'

The number→ 10x + y

Interchanged no. → 10y + x

10x + y = 10y + x - 18

9x - 9y = -18

9(x - y) = -18

x - y = -18/9

x - y = -2

x + y = 14 (Given)

x + y = 14

x - y = -2

_________

2x = 12 (on adding both equation)

x = 12/2

x = 6

_________

x + y = 14

6 + y = 14

y = 14 - 6

y = 8

Therefore x = 6 and y = 8

Number :

= 10x + y

= (10 x 6) + 8

= 60 + 8

= 68