Answer:
11 1/2 years old
Step-by-step explanation:
Let Amanda's age be a.
Let the company's age be c.
The company is 24 years older than Amanda. This means that:
c = 24 + a ______(1)
The sum of Amanda's age and the company's age is 121 years. This means that:
c + a = 121 ________(2)
Put (1) in (2):
24 + a + a = 121
2a = 121 - 24
2a = 97
a = 97 / 2 = 48 1/2 years
She has been there for 37 years, therefore, her age when she started working there is:
48 1/2 - 37 = 11 1/2 years old
NOTE: This age doesn't seem right but I worked based on the parameters given.