Question

the difference between a 2 digit number on the number obtained by in the inter changing the digit is 18. Find the original number,if the ratioy between the digit of a number are in the ratioy 3:5​

Answer 1

Answer:

35

Step-by-step explanation:

Let the number be ab

According to question,

ab-ba=18

a/b=3/5

5a=3b

Since a two digit number can be written as ab=(a)(10)+(b)(1)

So,|10a+b-(10b+a)|=18

(we are using modulus as we don't know that we have to do ab-ba or ba-ab)

|9a-9b|=18

|a-b|=2

Multiplying both side by 3 we get,

|3a-3b|=6

Now, put 3b=5a

|3a-5a|=6

|-2a|=6

2a=6

a=3

b=(5/3)a

b=5

The number is 35