Question

if 1 is added to the numerator of a fraction a/b becomes 5/6 if 2 is subtracted from denominator it becomes 9/10

Answer 1

There is a mistake in the given attachment,

Solution,

When 1 added to numerator,

Fraction = (a+1)/b

(a+1)/b = 5/6

From this,we conclude that a = (5b- 6)/6

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When 2 is subtracted from denominator,

Fraction = a/(b -2)

a/(b-2) = 9/10

10a = 9b - 18

Putting the value of a from the above solution,

10[(5b-6)/6] = 9b - 18

25b - 30 = 27b - 54

-30 + 54 = 27b - 25b

24 = 2b

12 = b

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a = [(5b-6)/6)]

a = [(60-6)/6]

a = 54/6

a = 9

Now,

Fraction = 9/12

I hope this will help you

-by ABHAY