Sum of all the digits of a two digit number is 9. When we exchange the

1.	Sum of all the digits of a two digit number is 9. When we exchange the digits , it isfound that the resulting new number is greater than the original number by 27. What is the two digit number?
Answer» Answer: 36 Step-by-step EXPLANATION: LET the DIGITS be X and y. Then, x+y = 9 the original number is 10x+y. On reversing, we get the NEW number as 10y+x The new number is greater than the old number by 27, i.e. (10y+x) - (10x+y) = 27 or 9y-9x = 27, or y-x = 3 and x+y = 9 Adding the two equations, we get 2y = 12 or y = 6. Thus, x = 3. Therefore, the original number is 36.

Sum of all the digits of a two digit number is 9. When we exchange the digits , it isfound that the resulting new number is greater than the original number by 27. What is the two digit number?

Answer»

Answer:

Step-by-step EXPLANATION:

LET the DIGITS be X and y.

Then, x+y = 9

the original number is 10x+y.

On reversing, we get the NEW number as 10y+x

The new number is greater than the old number by 27, i.e.

(10y+x) - (10x+y) = 27

or 9y-9x = 27, or y-x = 3

and x+y = 9

Adding the two equations, we get 2y = 12 or y = 6.

Thus, x = 3.

Therefore, the original number is 36.