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Let A = Aaron's age today and M = Maria's age today.
o Today, Maria is 10 years older than Aaron. Write this statement as an
equation.
o What will Maria's age be in 6 years (in terms of M)? What will Aaron's
age be in 6 years (In terms of A)?
o In 6 years, Maria will be twice as old as Aaron. Write this statement as
an equation. (HINT: The answer is NOT M=2*A as that would indicate
that Maria's age today is twice Aaron's age today. Maria's age 6 years
from now is twice Aaron's age 6 years from now)
o Using the equations you found above, how old are Aaron and Maria
TODAY?

Respuesta :

Aaron is 4 years and Maria is 14 years old.

A = Aaron's age today

M = Maria's age today.

a. The equation based on the statement given will be:

M = A + 10

b. Maria's age based on the statement in 6 years will be:

= (A + 10) + 6

= A + 16

c. Based on the information above, the equation to solve their ages will be:

A + 16 = 2(A + 6)

A + 16 = 2A + 12

Collect like terms

2A - A = 16 - 12

A = 4

Therefore, Aaron is 4 and Maria is 14 years.

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