Question

sum of the digits of a two digit number is 13. the number got by inter changing the digits is 27 more than original number. find out the number​

Answer 1

Answer:

answer is

58...

8+5=13

if we interchange the digit means if we make the number 85

their difference will be 27...

Answer 2

Answer :

• The number is 58.

Given :

• Sum of the digits of a two digit number is 13 and the number got by interchanging is 27 more than original number.

To Find :

• That number.

Solution :

Let

• Ten's place digit = x
• One's place digit = y

.°. Original number = 10x + y

After interchanging the digits

New number = 10y + x

Now

According to question :

→ (10y + x) - (10x + y) = 27

→ 10y + x - 10x - y = 27

→ 9y - 9x = 27

→ y - x = 3 ...i)

Sum of these digits

• x + y = 13 ...ii)

Add eq i) and ii)

→ (y - x) + (x + y) = 3 + 13

→ y - x + x + y = 3 + 13

→ 2y = 3 + 13

→ 2y = 16

→ y = 16/2

→ y = 8

Put the value of y in eq i)

→ y - x = 3

→ 8 - x = 3

→ x = 8 - 3

→ x = 5

Hence, the number is 58.