Question

In a certain year, the average e-mail user sent or received 122 e-mails each day. The number of e-mails received was 5 more than twice the number sent. How many were sent and how many were received each day?

Answer 1

In this question, we are given the average number of emails sent or received by an email user, and we need to find out the number of emails sent and received each day. By setting up two equations based on the given information, we can solve for the unknown variables. The number of emails sent each day is 39 and the number of emails received each day is 83.

Step-by-step explanation:

Let's represent the number of emails sent each day as 'x' and the number of emails received each day as 'y'.

According to the given information, the average email user sent or received 122 emails each day. We also know that the number of emails received was 5 more than twice the number sent.

So we can create the equations:

x + y = 122

y = 2x + 5

By substituting the second equation into the first equation, we can solve for the values of x and y.

Let's substitute y in terms of x:

x + (2x + 5) = 122

3x + 5 = 122

3x = 117

x = 39

Now we substitute this value back into the second equation to find y:

y = 2(39) + 5

y = 78 + 5

y = 83

Therefore, the number of emails sent each day is 39 and the number of emails received each day is 83.

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