Question

Lisa, Alan, and Reuben sent a total of 102 text messages over their cell phones during the weekend. Reuben sent 3 times as many messages as Alan. Alan sent
3 more messages than Lisa. How many messages did they each send?
Number of text messages Lisa sent:
x
5
?
Number of text messages Alan sent:
0
Number of text messages Reuben sent:
0

Answer 1

The number of message Alan, Rueben and Lisa sent are 21, 63 and 18 respectively.

How to find the text message each of them sent?

They sent a total of 102 text messages.

Reuben sent 3 times as many messages as Alan.

Alan sent 3 more messages than Lisa.

Therefore,

let

x = number of message Alan sent

Hence,

message Rueben sent = 3x

Lisa message = x - 3

Therefore,

3x + x + x - 3 = 102

5x - 3 = 102

5x = 102 + 3

5x = 105

x = 105 / 5

x = 21

Therefore,

number of message Alan sent = 21

number of message Rueben sent = 3(21) = 63

number of message Lisa sent = 21 - 3 = 18

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