Ann, Jim, and Miguel sent a total of 115

text messages during the weekend. Jim sent 10

more messages than Ann. Miguel sent 3

times as many messages as Ann. How many messages did they each send?

Ann: 21

Jim: 31

Miguel: 63

Let's start by finding Ann's number.

a + (a + 10) + 3a = 115

5a + 10 = 115

5a = 115 - 10

5a = 105

a = 105 / 5

a = 21

Now, just find the others' numbers using Ann's.

Jim sent ten more messages than Ann, and 21 + 10 = 31.

Miguel sent 3 times as many messages as Ann, and 21 * 3 = 63.