Question

The sum of the digits of a 2-digit number is 10. If we reverse the digits, the new number will be 54
more than the original number. What is the original number?

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Answer 1

Answer:

28

Step-by-step explanation:

let the number be 10x + y

given x + y = 10 :(1)

and

10y + x = 54 + 10x + y

9x - 9y = - 54

x - y = - 6 :(2)

(1) + (2)

2x = 4

x = 2

y = 8

Therefore the number is 28

HOPE IT HELPS