Question

a rational number is such that it's denominator is twice it's numerator if both the numerator and the denominator are increased by 13 the rational number becomes 2/3 in simplest form find the rational number

Answer 1

Let the numerator and denominator be x and y respectively.
Then, y = 2x
And (x+13)/(y+13) = 2/3
Thus, (x+13)/(2x+13) = 2/3
3(x+13) = 2(2x+13)
3x + 39 = 4x + 26
x =13

Answer 2

Answer:

refer to the attachment please