Question 1152214
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.