Database - 3 unknowns but don't use Simultaneous Equations

For "O" level E. Maths and Add Maths students to practise,

Question 1

If x, y and z are positive integers such that 27x + 28y + 29z = 363,

find the value of 10(x + y + z)

Question 2

Find the integer values of x, y and z if

37 1

--- = 2 + ---------------------------------------

13 1

x + --------------------------------

y + ---------------------------