Question

The sum of the digit of a two digit number is 9 and 27 is added to no.The sigit get intetchange what is no.

Answer 1

Answer:

Step-by-step explanation:

→ Let the digit in unit place be Y and the digit in tens place be X

→ Then,the two digits number is 10X+Y

→ By the problem,X+Y=9 …….(1)

→ On interchanging the digits, the new number will be 10Y+X

→ Now, 10Y+X-(10X+Y)=27

→ 10Y+X-10X-Y=27

→  9Y-9X=27

→  9(Y-X)=27

→ Y-X=27/9=3……..(2)

→ Adding (1)&(2),we get;

→ X+Y+Y-X=9+3=12

→ 2Y=12, Y=12/2=6

→ X+Y=9

→ X+6=9, X=3

→ The required number is 10X+Y=10*3+6=30+6=36

Hence,the number is 36