Question

consider two fractions having numerator 1. the denominator of one fraction is 2 more than the denominator of the other. sum of these fraction is 5/12

(a) write the abovee fact as an algebric equation
(b) find the fraction

Answer 1

let the 1st fraction be 1/ y then the other one will be 1/ y+2

according to question

1/y + 1/(y+2) = 5/12

that is the equation will be

5y×y –14y –24 = 0

solving equation we get y = 4 or –12/10 ( which is not possible bcoz in question numerator must be 1 )

so we take y = 4

now the fractions are 1/4 and 1/6. ans

hope it will be helpful.