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The difference between the ages of Penelope and her son, Zack, is 34. In six years, Penelope will be four times as old as Zack’s age two years ago. How old are they now?

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Answer:

To show this, we’ll subtract 2 from their ages now for their ages 2 years ago then add 6 to their current ages for their ages 6 years later.

Remember that Penelope is Zack’s mother so she’s definitely older than him. Therefore, we are subtracting Zack’s age from Penelope’s age to find the difference.

2) In six years, Penelope will be four times as old as Zack’s age two years ago.

Here are our two equations:

Equation 1: p - z = 34p−z=34

Equation 2: p + 6 = 4(z - 2)p+6=4(z−2)

Let’s now work on equation 1 to solve for pp.

Next, we’ll replace pp with 34 + z34+z in equation 2 then solve for zz

Answer: Penelope is currently 50 years old while her son, Zack, is 16 years old.

Step-by-step explanation:

hope its help.

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