This is a word problem

Question

The sum of three numbers is 95. The third number is 3times the first. The second number is 10 more than the first. What are the numbers?

Answer 1

Let x = first #, y=2nd #, z=3rd#

Then x + y + z = 95 (sum of the three numbers is 95)

z = 3x (3rd is 3 times first)

y = x + 10 (2nd is 10 more than first).

Now substitute into the first equation:

x + (x +10) + 3x = 95 ((x+10 replaces y; 3x replaces z)

5x + 10 = 95

5x=85

x = 17

y= 27

z = 51

Check to make sure these values add to 95.