 Hi and welcome to the session. Let's work out the following question. The question says the sum of the numerator and denominator of a fraction is 8. If 3 is added to both the numerator and denominator, the fraction becomes 3 by 4, by the fraction. So let us see the solution to this question. First of all, let the fraction x upon y from the question x plus y is equal to 8. This implies that y is equal to 8 minus x. Also according to the question, x plus 3 upon y plus 3 is equal to 3 upon 4. Now this we call equation 1. Now this implies 4 into x plus 4 into 3, that is 12, is equal to 3y plus 9. This we get by cross multiplication. So this implies that 4x minus 3y, or we can write it as 4x plus 12 is equal to 3 into... Now we know that the value of y is 8 minus x. So 3 into 8 minus x plus 9. This we get from equation 1. This implies that 4x plus 12 is equal to 24 minus 3x plus 9. This implies that 4x plus 3x is equal to 24 minus 12 plus 9. This implies 7x is equal to 21. Dividing both the sides by 7, we get x is equal to 2221 by 7 and that is equal to 3. Now from equation 1, we have y is equal to 8 minus x. This implies y is equal to 8 minus 3, that is equal to 5. So the required fraction is 3 upon 5, that is x upon y. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.