The sum of three numbers is 180. The third number is 5 less than the second, and the first plus the second is 10 less than the third. What are the numbers?

Answer 1

x + y + z = 180

z = y-5

x+y = z-10 = y-5 -10

x = -15

y+z = 195

z-y = -5

add

2z= 190, z= 95

y = z+5 = 100

x=-15 = 1st number

y=100 = 2nd number

z=190/2= 95 = 3rd number