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A number consits of two digit whose sum is 8.If 18 is added to the mumber, its digits are interchanged. The number is

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Answered by madhuspeaks
2

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madhuspeaks

Secondary School Math 5+3 pts

A number consists of two digits whose sum is 8. If 18 is added to the number its digits are reversed. Find the number.

Report by Neha611 25.05.2018

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tejasri2

Tejasri2Ace

Hi Friend !!

Here is ur answer ,,,

Let the numbers be x and y

then the number be 10x+y

Sum of digits = 8

x+y = 8 _______(1)

Its reversed number = 10y + x

when 18 added to the number its digits are reversed .

10x+y+18 = 10y+x

10x - x + 18 = 10y - y

9x + 18 = 9y

9y - 9x = 18

y-x = 18/9

y-x = 2 ________(2)

From (1) and (2)

2y = 8+2

y = 10/2

y = 5

x+y = 8

x+5 = 8

x = 8-5

x = 3

So, the number ,,

= 10x+ y

= 10(3)+5

= 30+5

= 35

Hope it helps u : )

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