Question

A two digit number becomes 5/6th of itself when it's digits are reversed. The two digits differ by1 1. Find the number..... Please give me correct answer......​

Answer 1

Question:-

A two digit number becomes 5/6th of itself when it's digits are reversed. The two digits differ by1 1. Find the number

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let the units place digit be x and tens place digit be y

therefore the original number is 10y + x and new number is 10x + y

therefore:

50y+5x = 60x+6y

44y = 55x

4y - 5x = 0 ___ (i).

y-x = 1 ___ (ii)

(ii) × 4:

4y-4x = 4

(i) - (ii):

(4y-5x) - (4y-4x) = 0-4

-5x-4x = -4

-x = -4

x = 1

y = x + 1 = 5

therefore original number is 54

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