Problema Solution

Martha is 33 years older than her son, Thomas. The sum of their ages is 123. How old are Martha and Thomas?

Answer provided by our tutors

Let

x = the age of Thomas

y = the age of Martha

Martha is 33 years older than her son, Thomas means:

y = 33 + x

The sum of their ages is 123 means:

x + y = 123

We have the following system of equations:

y = 33 + x

x + y = 123

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x = 45 years

y = 78 years

Martha is 78 years old.

Thomas is 45 years old.