Let one number be x. Therefore, the other number will be x + 15.

According to the question,

x + x + 15 = 95

2x + 15 = 95

On transposing 15 to R.H.S, we obtain

2x = 95 − 15

2x = 80

On dividing both sides by 2, we obtain

2x/2 = 80/2

x = 40

x + 15 = 40 + 15 = 55

Hence, the numbers are 40 and 55.