Answer:
Mrs. Bee current age=38 years
Son current age=8 years
In 7 years Mrs. Bee will be three times as old as her son will be then
Step-by-step explanation:
We are told that currently Mrs. Bee's age is six years more than four times her son's age :
(1)
Then, we are told that three years ago, she was seven times as old as her son was then:
(2)
At this point we ave a system of two equations with which we can find Mr. Bee's and her son's current age.
Substituting (1) in (2):
(3)
Finding :
(4) This is the son's current age
Substituting (4) in (1):
(5)
Finding :
(6) This is Mrs. Bee's current age
Now we have to determine how many years from now Mrs. Bee will be three times as old as her son will be then:
(7)
Isolating :
This means that in 7 years Mrs. B will be three times as old as her son will be then.