Question

9. Write a fraction with numerator x and denominator y. If the numerator is increased by 6, the fraction becomes 1/2 1/3 If its denominator is increased by 7, the fraction becomes Find the fraction.​

Answer 1

Answer:

$(x + 6) \div y = 1 \div 2 \\ and \: x \div (y + 7) = 1 \div 3 \\ now \: from \: first \: equation \: we \: get \: by \: crossmultiply \\ 2x + 12 - y = 0 \\ similarly \: from \: second \: equation \: we \: get \: \\ 3x - y - 7 = 0 \: substracting \: these \: equation \: we \: ge \\ \\ ( - x) + 19 = 0 \\ x = 19 \\ y = 3(19) - 7 \\ y = 50 \\ so \: fraction \: is19 \div 50$