Question

The sum of the digits of a two digits number is 4. If 18 is added to the original numbers , its digit are reversed find the number . (check your sollution )​

Answer 1

Step-by-step explanation:

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Let the digits be x(ten's) & y(unit) .

Then, x + y = 4 ....(1)

Number = 10x + y

➭ 18 + 10x + y = 10y + x

➭ 18 + 9x = 9y

➭ 2 + x = y

➭$y = (4 - y) + 2 \:\:\:\:\: ... [from 1]$

➭ 2y = 6

➭ y = 3

So , x = y-2 = 1

Checking :

10x + y = 10*1 +3 = 13

13 + 18 = 31 which is 10y + x , so our answer is correct .