Math, asked by anus031369, 8 hours ago

A number consists of two digits whose sum of the digits is 8. If 18 is added to the number, the digits interchange their places. Find the original number and the new number.
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Answers

Answered by MysticalGirl85
296

Answer:

30

Step-by-step explanation:

Given :-

Sum of 2-digit number = 8

If 18 is added to the number, the digits change their places.

To Find :-

The Number

Solution :-

Let one of the number be x

And the other number be 8 - x

According to the question

⇒ 10x + (8 - x) + 18 = 10(8 - x) + x

⇒ 10x + 8 - x + 18 = 80 -10x + x

⇒ 9x + 26 = 80 - 9x

⇒ 9x + 9x = 80 - 26

⇒ 18x = 54

⇒ x = 54/18

⇒ x = 3

One Number = x = 3

Other number = 8 - x = 8 - 3 = 5

Hence, the number is 35.

Answered by rsmvansh
13

Answer:

original no.=35

new no =53

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