Question

a two digit number is 3 more than 4 times the sum of its digit if 18 is added to the number it's digit are reversed. find the number​

Answer 1

Step-by-step explanation:

We Have :-

A two digit number is:-

3 more than 4 times the sum of its digit

If 18 is added to the number it's digit are reversed

To Find :-

The Number

Solution :-

Let the number be xy

Then it can be written as :-

10x + y

Acc to question

10x + y = 4 ( x + y ) + 3

10x + y = 4x + 4y + 3

6x - 3y = 3

2x - y = 1 ---------- ( i )

When the number is Reversed

Then it can be written as :-

10y + x

Acc to question

10y + x = 10x + y + 18

9y - 9x = 18

y - x = 2

Solving these equations we get :-

x = 3 , y = 5

So the number is 35

Reversed Number is 53

Answer 2

Answer:

Step-by-step explanation:

Solution :-

Let the tens and unit digit of number are  x, y respectively.

First condition :-

⇒ 10x + y = 3 + 4(x + y)

⇒ 6x - 3y = 3

⇒ 2x - y = 1 ...(i)

Second condition :

⇒ 10x + y + 18 = 10y + x

⇒ x - y = - 2 ....(ii)

Solving Eq (i) and (ii), we get

⇒ x = 3 and y = 5

Thus, the required number​ is 35.