# CBSE Class 10 Answered

**idff**

Asked by mkalgikar2122 | 02 May, 2020, 12:54: PM

Expert Answer

Q: If the numerator of a fraction is increased by 1, its value becomes 3/4. If its denominator is increased by 2, its value becomes 1/2. Find the fraction.

Solution:

Let the fraction be x/y.

According to the first condition,

(x+1)/y=3/4

4(x+1)=3y

4x-3y+4=0 ... (i)

According to the second condition,

x/(y+2)=1/2

2x=y+2

2x-y-2=0 ... (ii)

Multiplying (ii) by 2, we have

4x-2y-4=0 ... (iii)

Subtracting (i) from (iii), we have

y-8=0

y=8

Substituting in (1), we get

4x-3(8)+4=0

4x=20

x=5.

Hence, the required fraction is 5/8.

Answered by Renu Varma | 02 May, 2020, 16:41: PM

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