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Answer :
Let x represent Ed’s age. We were told that Pam’s age is 10 less than Ed’s age. This means that Pam's age is x - 10
If the sum of their ages is 32, it means that
x + x - 10 = 32
2x - 10 = 32
2x = 32 + 10 = 42
x = 42/2
x = 21
Pam's age = 21 - 10
Pam's age = 11
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Rewritten by : Barada
Pam's age is 11 years old. This was determined by setting up a system of equations based on the information that Pam is 10 years younger than Ed, and their combined ages equal 32.
Let's define Ed's age as \'E\' and Pam's as \'P\ . According to the information provided, we have two equations: P = E - 10 (since Pam's age is 10 years less than Ed's), and P + E = 32 (the sum of their ages).
To find Pam's age, we can substitute the first equation into the second: (E - 10) + E = 32. Simplify this to get 2E - 10 = 32. Adding 10 to both sides gives us 2E = 42, so dividing both sides by 2 yields E = 21.
Now that we know Ed's age, we can calculate Pam's age using the first equation: P = E - 10, which becomes P = 21 - 10, and therefore P = 11.
Pam's age is 11 years old.
