Question 894135: A woman is 42 years of age and her daughter is 8 years old. in how many years will the mother be three times as old as her daughter? Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! the mother is 42
the daughter is 8
in x years the mother will be 42 + x
in x years the daughter will be 8 + x
in x years the mother will be 3 times as old as the daughter.
your formula is:
42 + x = 3 * (8 + x)
simplify to get:
42 + x = 24 + 3x
subtract 3x from both sides of the equation and subtract 42 from both sides of the equation to get:
x - 3x = 24 - 42
simplify to get:
-2x = -18
divide both sides of the equation by -2 to get:
x = 9
in 9 years the mother will be 51 years old.
in 9 years the daughter will be 17 years old.
51 id 3 * 17 so the solution looks good.
