In a three digit number, the tens digit is thrice the unit digit and hundred’s digit is twice the unit digit. If the sum of all three digits is 12. Find the number.

x = 4, y = 6, z = 2

Explanation:

Let x, y and z represent the 3 digit.

Where:
x = 2z
y = 3z
z = z

And: x + y + z = 12

2z + 3z + z = 12
6z = 12
z = 2

If z = 2 then:

x = 2(2) = 4
y = 3(2) = 6

The answer would be 27 because assuming that each package has 1 bar of soap and 1 tube of toothpaste, after 27 packages they would run out of toothpaste