SOLUTION: A mother 41 years old and her daughter is 9 years old. In how many years will the mother be three times as old as her daughter?

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Question 1119547: A mother 41 years old and her daughter is 9 years old. In how many years will the mother be three times as old as her daughter?
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the mother is 41 when her daughter is 9.

in how many years will the mother be three times as sold as her daughter.

let x be the number of years.

the formula is 41 + x = 3 * (9 + x).

simplify to get 41 + x = 27 + 3x

subtract 27 from both sides of the equation and subtract x from both sides of the equation to get 41 - 27 = 3x - x

simplify to get 14 = 2x

solve for x to get x = 7.

if this is correct, then 41 + 7 = 3 * (9 + 7).

simplify to get 48 = 3 * 16.

since 3 * 16 = 48, this equation is true and the solution is confirmed to be correct.

the mother is 48 in 7 years.
the daughter is 16 in 7 years.
48 is equal to 3 * 16.

the solution is 7 years.