Q. 44.8( 5 Votes )

# A fraction is such that if the numerator is multiplied by 3 and denominator is reduced by 3 we get but if the numerator is increased by 8 and denominator is doubled we get . Find the fraction?

Answer :

Given,

Let numerator be = x and denominator be = y

According to the problem,

⇒ 33x = 18(y-3)

⇒ 33x – 18y = - 54

……(i)

Also,

⇒ 5x + 40 = 4y ……(ii)

By substitution method,

Put value of x from eq (i) in eq (ii)

⇒ 90y - 270 + (40 x 33) = 33 x 4y

⇒ 132y -90y = 1320 – 270

⇒ 42y = 1050

⇒ y =25

Now put value of y in eq (i)

x = 12

Hence, the fraction is

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