Respuesta :

so, the two equations are B = 4P   and (B + 5) = 3 ( P + 5)
B + 5 = 3 P + 15
4P + 5 = 3P + 15
P = 10
Paul is 10 years old
Brenda is 40 years old

Hope this helps!

The ages of Brenda and her nephew Paul are;

Brenda = 40 years

Nephew Paul = 10 years

We are told that Brenda is 4 times as old as her nephew Paul.

If the age of Paul is P = x.

Then the age of Brenda is; B = 4x

Now,in 5 years time, Brenda will be 3 times as old as Paul.

Thus;

Paul is now P = (x + 5) years old

Brenda is now B = 3(x + 5) years old

Thus, since B = 4x, then;

4x + 5 = 3(x + 5)

4x - 3x = 15 - 5

x = 10 years

Thus, B = 4 × 10

B = 40 years

Thus, the ages of Brenda and her nephew Paul are 40 years and 10 years respectively.

Read more about algebra word problems at; https://brainly.com/question/14111058

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