Question

the denominator of a fraction is 3 more than its numerator if numerator and denominator both are increased by 2 the new fraction becomes 2 upon 3 find the fraction

Answer 1

Let the numerator be a

Denominator = a + 3

Fraction = a / (a +3)

According to question,

( a + 2) / (a + 3 + 2) = 2 /3

=> ( a + 2) / (a +5) = 2/3

=> 3a + 6 = 2a + 10

=> 3a - 2a = 10 - 6

=> a = 4

Fraction = ( 4) / ( 4 + 3)

= 4 /7