When the smaller of two consecutive integers is added to four times the larger the result is 79. What is the product of the two integers?

Respuesta :

So, let’s define what “two consecutive integers are”: 4 and 5, 5 and 6, 6 and 7...
This would be written as “x” and “x+1”.

So:

x + 4*(x+1) = 79
x + 4x + 4 = 79
5x = 79 - 4
5x = 75
x = 75/5
x = 15

The product:
15 * (15+1) = 15 * 16 = 240