Answer :

Let the number be x

On Subtracting 2 from thrice a number = 3x - 2


Sum of twice the number and 5 = 2x + 5


It is given that, their ratio is 13:15



On cross multiplying, we get,


45x – 30 = 26x + 65


19x = 95


x = 5


The number is 5


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