Question

the sum of three consecutive numbers is 120.Find the numbers.
​

Answer 1

Step-by-step explanation:

Let the three consecutive numbers be x - 1, x and x + 1

$\therefore \: x - 1 + x + x + 1 = 120 \\ \\ \therefore \:3 x = 120 \\ \\ \therefore \: x = \frac{120}{3} \\ \\ \therefore \: x = 40 \\ \implies \: \\ x - 1 = 40 - 1 = 39 \\ x = 40 \\ x + 1 = 40 + 1 = 41$

Thus the three consecutive numbers are 39, 40 and 41.