Question

the denominator of a rational number is greater than its numerator by 7 if the numerator is increased by 17 and the denominator is decreased by 6 the new number becomes 2 find the original number​

Answer 1

$\mathfrak{\underline{\underline{Answer:}}}$

Let the numerator and the denominator be x and y respectively.

Fraction = $\tt{\frac{x}{y}}$

According to the question, the two equations we find are:

x = y + 7 ...(1)

$\tt{\frac{x+17}{y-6} = 2}$ ...(2)

By solving these two equations, what we get is:

x = 37

y = 30

Fraction = $\tt{\frac{37}{30}}$