Question

Eight times a two digit number is equal to three times the number obtained by reversing the order of its digits.If the difference between the digits is 5. Find the number.

Answer 1

Let the number be 10x+y.

Given: 8(10x+y)=3(10y+x)

=>80x+8y=30y+3x

=>77x=22y

=>x=2y/7

Also, given that x-y=5 or y-x=5, let us take the second equation

=>y - 2y/7 =5

=>7y-2y=35

=>y=7, so x is 2. 

=> The number is 27.

Answer 2

Step-by-step explanation:

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