Question

The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 45 more than the original number. Find the number.

Answer 1

answer is 38 because
3+8=11
83-38=45

Answer 2

Answer:

Step-by-step explanation:

45 + 10x + y = 10y + x

=>9y - 9x = 45

=>9(y - x) = 45

=>y - x = 5

y = x + 5

x + y = 11 [Sum of digits]

=>x + x + 5 = 11

=>2x = 6

=>x = 3

Therefore y = 8

THE NUMBER IS 38.

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