can some one solve after addind a numbers both digits we get 8, and if add 18 to it, - Maths - The Triangle and its Properties

Question

can some one solve? after addind a numbers both digits we get 8,
and if add 18 to it, its digits get reversed
find the numbers with working !

Shridhar Kaushik · Accepted Answer

Let the unit digit of number be x and

The digit at tens place by y.

Then, the number is 10y + x ......... (1)

Also, x + y = 8 ........ (2)

According to question,

$(10 y + x) + 18 = (10 x + y) \Rightarrow 9 x - 9 y = 18 \Rightarrow x - y = 2 ......... (3)$

Solving (2) and (3), we get –

$2 x = 10 \Rightarrow x = 5$

and so from (2), we get y = 3.

Hence, the number is 10 × 3 + 5 = 35.

can some one solve? after addind a numbers both digits we get 8, and if add 18 to it, its digits get reversed. find the numbers with working.........!