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d) Alejandra's age is twice Antonia's age. 10 years ago, the sum of their ages was equal to Alejandra's current age. What is the age of each one today?

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Answer to a math question d) Alejandra's age is twice Antonia's age. 10 years ago, the sum of their ages was equal to Alejandra's current age. What is the age of each one today?

Expert avatar
Clarabelle
4.7
87 Answers
A = 2T

A - 10 + T - 10 = A

Simplifying the second equation:

A - 10 + T - 10 = A

2T - 20 + T - 10 = 2T

3T - 30 = 2T

3T - 2T = 30

T = 30

Now, substitute T back into the first equation to find A :

A = 2T

A = 2(20)

A = 40

Answer:

Antonia's age T = 20 years old,

Alejandra's age A = 40 years old.

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