In a film, actor charles coburn plays an elderly "uncle" character criticized for marrying a woman when he is 3 times her age. he wittily replies, "ah, but in 30 years time i shall only be twice her age." using algebra as opposed to "trial & error", how old is the "uncle" and the woman?

each answer must be explained in detail using the correct vocabulary to receive full credit.

Age of uncle = 90 years

Age of woman = 30 years

Step-by-step explanation:

Let the age of uncle be x years

And age of woman be y years

Now, uncle is three times her age ⇒ x = 3y (1)

Also, in 30 years uncle is twice her age ⇒ x + 30 = 2(y + 30) (2)

Now, substituting x = 3y from equation (1) in equation (2)

⇒ 3y + 30 = 2y + 60

⇒ y = 30

So, x = 90

Hence, Age of uncle = 90 years

Age of woman = 30 years

where did you get them? if you picked from the grass, is is probably poisonous.

step-by-step explanation:

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.