The sum of three numbers is 185

The second number is 5 times the first.

The third number is 13 less than the second.

What is the second number?

The value of the first number, x, is equal to 18. The value of the second number, y, is equal to 90. The value of the third number, z, is equal to 77.

x + y + z = 185

y = 5x

z = y - 13

Because we already have a value for y, we already have a value for z. We can now solve for a value of x.

x + 5x + 5x - 13 = 185

Add 13 to both sides.

x + 5x + 5x = 198

Combine like terms.

11x = 198

Divide both sides by 11.

x = 18

Because we have a value of x, we can solve for the exact values of y and z.

y = 5 (18)

y = 90

z = (90) - 13

z = 77