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Step 1: Represent laura, deon and ravi
[tex]\begin{gathered} \text{let l represents laura's sent messages} \\ \text{let d represents deon's sent messages} \\ \text{let r represents Ravi's sent messages} \end{gathered}[/tex]Step 2: Write the relationship between l, d, and r from the first statement
[tex]l+d+r=101[/tex]Step 3: Write the relationship from the second statements
[tex]\begin{gathered} r=2d \\ l=d+9 \end{gathered}[/tex]Step 4: Substitute the r and l in the first relationship
[tex]\begin{gathered} l+d+r=101 \\ d+9+d+2d=101 \\ d+d+2d=101-9_{} \\ 4d=92 \\ d=\frac{92}{4} \\ d=23 \end{gathered}[/tex]Step 5: Solve for r and l
[tex]\begin{gathered} r=2d \\ r=2\times23=46 \end{gathered}[/tex][tex]\begin{gathered} l=d+9 \\ l=23+9 \\ l=32 \end{gathered}[/tex]Hence, Ravi sent 46 messages, Deon sent 23 messages, and Laura sent 32 messages