My daughter is twice as old as my son and half as old as I am. In twenty-two years my son will be half my age. How old is my daughter?
+128408 Here's a way to do this with one variable only.
Let the son's age =x, the daughter's age = 2x, and the mother's age = 4x
And we have that in 22 years, the son wll be half as old as the mother......thus.....
2(x + 22) = 4x + 22
2x + 44 = 4x + 22
22 = 2x
x = 11 and that's the son's age
2x = 22 and that's the daughter's age
+33615 m = my age, d = daughter's age, s = son's age.
d = 2s (1)
d = m/2 (2)
s + 22 = (m + 22)/2 (3)
Put (1) and (2) in (3)
d/2 + 22 = d + 11
Rearrange
d/2 = 11
d = 22
So daughter is 22.
+128408 Here's a way to do this with one variable only.
Let the son's age =x, the daughter's age = 2x, and the mother's age = 4x
And we have that in 22 years, the son wll be half as old as the mother......thus.....
2(x + 22) = 4x + 22
2x + 44 = 4x + 22
22 = 2x
x = 11 and that's the son's age
2x = 22 and that's the daughter's age
