Answer:
Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.
Step-by-step explanation:
Let number of messages sent by Linda=l
Let number of messages sent by Aldo=a
Let number of messages sent by Tom=t
Linda, Aldo and Tom sent a total of 147 messages
t+a+l=147.........(i)
If Tom sent 4 times as many messages as Aldo,
t=4a ......(ii)
Linda Sent 9 more messages than Aldo
l=a+9.........(iii)
We are required to find the number of messages each sent i.e. l, a and t
Substituting Equations (ii) and (iii) into (i)
t+a+l=147
4a+a+(a+9)=147
6a+9=147
6a=147-9
6a=138
a=138/6=23
From (ii). t=4a
t=4X23=92
From (iii), l=a+9=23+9=32
Therefore:
Linda Sent 32 messages, Aldo sent 23 messages and Tom sent 92 messages.