Mathematical representation of statement 1 is:
[tex]3x+y=21[/tex]Mathematical representation of statement 2 is:
[tex]x-2y=-14[/tex]Solving the two(2) equations simultaneously by the method of elimination, we have:
[tex]\begin{gathered} 3x+y=21\text{ -------}\times2 \\ x-2y=-14 \\ ----------------------- \\ 6x+2y=42 \\ x-2y=-14 \\ ----------------------- \\ 6x+x=42-14 \\ 7x=28 \\ x=\frac{28}{7} \\ x=4 \end{gathered}[/tex]Substitute for x = 4 into any of the two(2) equations:
[tex]\begin{gathered} \text{from eqn i}i) \\ x-2y=-14 \\ 4-2y=-14 \\ -2y=-14-4 \\ -2y=-18 \\ y=-\frac{18}{-2} \\ y=9 \end{gathered}[/tex]Hence, the numbers are 4 and 9
