Question

12.The sum of the digits of a two digit number is 12 .The number obtained by interchanging digits exceeds the given number by 18 .Find the number.​

Answer 1

Answer:

Given no 10x+y

x+y=12 --------(1)

no obtained by interchanging digits

10y+x

according to problem

10y+x= 10x+y +18

on solving y-x =2-----(2)

add equation 1 and 2

2y =14

y=7

put y =2 in equation 1 or 2

x = 5

hence the no is 10x+y= 10*5+7=57

Answer 2

Answer:

57

Step-by-step explanation:

x+y=12

given that

10x+y+18=10y+x

9x-9y=  -18

x-y=18/9

=-2

x+y=12  --------(1)

x-y=-2   --------(2)

by solving equation (1) & (2)

x=5 & y=7

∴ the number is 57