Question

the sum of the digits in a 2 digit number is 10,when the digits are reversed the value of the number goes down by 54. find the number

Answer 1

Answer:

82

Step-by-step explanation:

Let the digits be x and y.

$x + y = 10$ ... (i)

$(10x + y) - (10y +x) = 54$

$9x - 9y = 54$

$9(x-y) = 54$

$x - y = 6$ ... (ii)

(i) - (ii) ;

$2y = 4$

$y = 2$

$Therefore, x = 10 - 2 = 8$

$Number=10x+y=82$

Hope it helped...

Do mark it as 'Brainliest'