Question

The sum of the digits of a two-digital number is 9.If 9 is added to the number formed by reversing the digits,then the result is thrice the original number.Fiind the original number

Answer 1

Answer:

27

Step-by-step explanation:

Two-digital number

27

Sum of the digits

2+7=9

Reversed number

72

9 added to reversed number

72+9=81

Result

81÷21=3

Answer 2

Step-by-step explanation:

let the unit digit ne x and tenth place digit be 10y.

then the number is 10y+x

A/Q

sum of the digits of a two-digit number = x+y=9-----(1)

9 is added to number formed by reversing the digit, then the result is thrice the original number

10x+y+9=3(10y+x)

10x+y+9 = 30y+3x

29y-7x=9-----(2)

solving 1 and 2

x=2

y=7

therefore digit is 72