Question

Solve the question .

Answer 1

let the numerator be A then denominator will be (A+7),

then
fraction= A/(A+7),


now according to the question, if numerator increased by 2 and denominator increased by 9 so We have

(A+2)/[(A+7) + 9] = A/(A+7),

(A+2)/(A+16) = A/(A+7),

(A+2)(A+7)=A(A+16),

A²+9A+14=A²+16A,

14=16A-9A,

14=7A,

then

A=14/7=2,


therefore

fraction = A/(A+7) = 2/(2+7) = 2/9