SOLUTION: Alison is 26 years younger than her father. Her father’s age will be 3 time her age in 4 years’ time. How old is Alison

Question 1152214: Alison is 26 years younger than her father. Her father’s age will be 3 time her age in 4 years’ time. How old is Alison
Found 3 solutions by Theo, MathTherapy, Shin123:
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
a = alison's age now..
f = he father's age now.
a = f - 26
f + 4 = 3 * (a + 4)
you need to solve these two equations simultaneously.
in the second equation, replace a with f - 26 to get:
f + 4 = 3 * (f - 26 + 4)
combine like terms to get:
f + 4 = 3 * (f - 22)
simplify to get:
f + 4 = 3 * f - 66
subtract 3 * f from both sides of the equation and subtract 4 from both sides of the equation to get:
f - 3 * f = - 66 - 4
combine like terms to get:
-2 * f = -70
divide both sides of this equation by -2 and solve for f to get:
f = -70 / -2 = 35
her father's current age is 35.
her current age is 35 - 26 = 9.
in 4 years, she will be 13.
in 4 years, he will be 39.
39 is 3 * 13.
father's current age and alison's current age are confirmed to be good.
solution is that alison is currently 9 years old.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Alison is 26 years younger than her father. Her father’s age will be 3 time her age in 4 years’ time. How old is Alison

Let Alison's age be A
Then father's is: A + 26
We then get: A + 26 + 4 = 3(A + 4)
A + 30 = 3A + 12
A - 3A = 12 - 30
- 2A = - 18
Alison's age, or
Answer by Shin123(626)   (Show Source): You can put this solution on YOUR website!

Let Alison’s current age be a and her father’s current be f. Using the given information, we have the system of equations, . Substituting f for a+26 in the second equation gives a+30=3a+12. Solving gives a=9. Therefore, Alison is 9 years old.

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