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