# In a rational number twice the numerator is two more than the denominator.If three is added to the numerator as well as the denominator,the new fraction is 2/3.Find the original number

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Let a be the numerator and b be the denominator.

given:

# 2a = 2+b

b = 2a - 2

# 3+a/3+b=2/3 (substitute b)

3 + a / 3 + 2a -2 = 2/3

3+a/1+2a=2/3 (cross multiply)

9+3a=2+4a

a=7

substitute a in b = 2a -2

b = 12.

given:

# 2a = 2+b

b = 2a - 2

# 3+a/3+b=2/3 (substitute b)

3 + a / 3 + 2a -2 = 2/3

3+a/1+2a=2/3 (cross multiply)

9+3a=2+4a

a=7

substitute a in b = 2a -2

b = 12.