Jina, Gorman, and Hoang sent a total of 98 text messages over their cell phones during this weekend. Hoang sent 10 fewer messages than Jina. Giran sent 2 times as many messages as Hong. How many messages did they each send?

Hoang sent 22 texts

Jina sent 32 texts

Gorman sent 44 texts

Step-by-step explanation:

Let number of messages sent by

Jina be j

Gorman be g

Hoang be h

3 people total is 98, so we can write:

j + g + h = 98

Hoang sent 10 fewer than Jina, so we can write:

h + 10 = j

Giran sent 2 times as Hoang, so we can write:

g = 2h

Now, we substitute 2nd and 3rd equation in 1st and solve for h:

j + g + h = 98

h + 10 + 2h + h = 98

4h + 10 = 98

4h = 88

h = 22

We know j = h + 10, so j = 22 + 10 = 32

j = 32

And, we know g = 2h = 2 (22) = 44

g = 44