Diane, John, and Hans sent a total of 135 text messages during the weekend. John sent 9 more messages than Diane. Hans sent 4 times as many messages as Diane. How many messages did they each send

Diane sent 21messages

John sent 30 messages

Hans sent 84 messages

Step-by-step explanation:

Total messages = 135

let messages sent by Diane = x

""". sent by John=x+9

sent by Hans=4x

Now the sum

x+x+9+4x=135

6x+9=135

6x=135-9

6x=126

x=126/6

x=21

Diane's message=x=21

John's message=x+9=21+9=30messages

Hans' messages=4*x=4*21=84

Diane sent 21 messages

John sent 30 messages

Hans sent 84 messages