Question

the sum of the digits of a two digit nu.mber is 9.the number formed by reversing the digits is 45 more than the original number find the original and reversed number​

Answer 1

Answer:

Number is 27.

Step-by-step explanation:

Let units digit be x and tens digit be y.

Original number = x + 10y

• x + y = 9 --------------(1)

After reversing the digits, the number will become = 10x +y

• (Number formed by reversing digits) = (Original number) +45
• (10x +y) = x + 10y +45
• 10x - x + y - 10y - 45 = 0
• 9x - 9y - 45 = 0
• 9(x - y - 5) = 0
• x - y = 5 --------------(2)

Adding equation (1) and (2), we will get:

• 2x = 14
• x = 7

Put x = 7 in any one equation, we will get:

• 7 + y = 9
• y = 2

Hope it will help you.

Answer 2

Answer:

hope it helps you.....