27. Five mark exercise problems V

1. The sum of a two digit number and the number formed by interchanging the digits is \(110\). If \(10\) is subtracted from the first number, the new number is \(4\) more than \(5\) times the sums of the digits of the first number. Find the first number.

 

Answer:

 

The first number is .

 

2. Two numbers are in the ratio \(5:6\). If \(8\) is subtracted from each of the numbers, the ratio becomes \(4:5\). Find the numbers.

 

Answer:

 

The numbers are  and .

 

(Note: Enter the numbers in ascending order.)