Question

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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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

Answers

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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