The sum of three numbers is 89 The second number is 6 times the first. The third number is 15 less than the second. What is the first number?

Respuesta :

The first number is 8

Solution:

Let the first number be "x"

The second number is 6 times the first

Second number = 6x

The third number is 15 less than the second

Third number = second number - 15

Third number = 6x - 15

The sum of three numbers is 89

Therefore,

First number + second number + third number = 89

[tex]x + 6x + 6x - 15 = 89\\\\13x - 15 = 89\\\\13x = 89+15\\\\13x = 104\\\\Divide\ both\ sides\ by\ 13\\\\x = 8[/tex]

Thus the first number is 8