Final answer:
To find the number for the given fraction, we set up the equation x/(x + 25) = 3/8, where x represents the numerator. Solving for x gives us the numerator of 15 and, accordingly, the denominator of 40 for the fraction 15/40, which is equivalent to 3/8.
Step-by-step explanation:
The question involves finding a number when given a fraction whose numerator is 25 less than its denominator and is equal to 3/8. We set up an equation by letting x represent the numerator, which means the denominator will be x + 25. The fraction can then be expressed as x/(x + 25).
To find x, we set up the equation x/(x + 25) = 3/8 and solve for x. We cross-multiply to get 8x = 3(x + 25), which simplifies to 8x = 3x + 75. By subtracting 3x from both sides, we get 5x = 75, and by dividing both sides by 5, we find that x = 15. Therefore, the numerator is 15 and the denominator is 15 + 25 = 40.