If a certain number is added to both the numerator and denominator of the fraction 7 6 76, the result is 3 2 32. find the number.

Assuming that the right statement is that if a certain number is added to both the numerator and the numerator of the fraction 7/6, the result is 3/2, find the number, the solution if found in this way:

Call x the number (certain number)

=> (7+x) / (6 + x) = 3/2

=> (7 + x) * 2 = 3 * (6 + x)

=> 14 + 2x = 18 + 3x

=> 14 - 18 = 3x - 2x

=> - 4 = x

verification> (7 - 4) / (6 - 4) = 3 / 2

Answer: the number is - 4.