Marth's mother is 5 times as old as Marta Marth'smother is 25 years old
1. How old is Matra?
2.In 5 years Marta's mother will be 3 times as old as Marta.How old will Marta be then?
Mom = 5 x (Marta)
Mom = 25
so
25 = 5 x (Marta)
thanks but that only answers the first question
wouldn't she be 5 years older 5 years from now?
To solve these questions, we can use algebraic equations. Let's assign variables to the unknowns and use the given information to set up equations.
1. Let's assume Marta's age as M. From the first sentence, it is mentioned that Marth's mother is 5 times as old as Marta. If Marta's age is M, then her mother's age would be 5M. However, we were given that Marth's mother is 25 years old, so we can set up the equation:
5M = 25
To determine Marta's age, let's solve this equation:
Divide both sides of the equation by 5:
M = 25 / 5
M = 5
Therefore, Marta is 5 years old.
2. Let's determine Marta's age in 5 years. We know that Marta's current age is 5. So, in 5 years, her age would be:
M + 5 = 5 + 5
M + 5 = 10
We were also given that in 5 years, Marta's mother will be 3 times as old as Marta. This can be expressed as an equation:
(5M + 5) + 5 = 3(M + 5)
To determine Marta's age, we can solve this equation:
Expand the equation:
5M + 10 = 3M + 15
Subtract 3M from both sides:
5M - 3M + 10 = 3M - 3M + 15
2M + 10 = 15
Subtract 10 from both sides:
2M + 10 - 10 = 15 - 10
2M = 5
Divide both sides by 2:
M = 5 / 2
M = 2.5
Therefore, Marta will be 2.5 years old in 5 years.