# A girl is twice as old as her brother and half as old as her father. In 22 years, her brother will be half as old father

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A girl is twice as old as her brother and half as old as her father. In 22 years, her brother will be half as old as his father. How old is all three now?

posted Oct 8, 2017

Brother: Girl: Father:: 1: 2: 4
=> x+2x+4x = 7x
Brother and father => 5x
After 22 years
Brother: Father:: 1: 2 = > 3(x+22)
Now we can continue by knowing
5x - 3(x+22) = -44 [ because between the 2 ratios the age difference is 22x2 for 2 people ]
5x - 3x -66 = -44
2x = 22
x = 11 ===> Brothers age 22 years earlier, so now ===> 11 + 22 = 33.
2x = 22 ===> Sisters age 22 years earlier, so now ===> 22 + 22 = 44.
4x = 44 ===> Fathers age 22 years earlier, so now ===> 44 + 22 = 66.

Brothers age ===> 11 .
Sisters age ===> 22
Fathers age ===> 44
in 22 years:
Brothers age ===> 11 .+22=33
Sisters age ===> 22 +22=44
Fathers age ===> 44 +22=66

Brother: Girl: Father:: 1: 2: 4
=> x+2x+4x = 7x
Brother and father => 5x
After 22 years
Brother: Father:: 1: 2 = > 3(x+22)
Now we can continue by knowing
5x - 3(x+22) = -44 [ because between the 2 ratios the age difference is 22x2 for 2 people ]
5x - 3x -66 = -44
2x = 22
x = 11 ===> Brothers age 22 years earlier, so now ===> 11 + 22 = 33.
2x = 22 ===> Sisters age 22 years earlier, so now ===> 22 + 22 = 44.
4x = 44 ===> Fathers age 22 years earlier, so now ===> 44 + 22 = 66.
Brothers age ===> 11 .
Sisters age ===> 22
Fathers age ===> 44
in 22 years:
Brothers age ===> 11 .+22=33
Sisters age ===> 22 +22=44
Fathers age ===> 44 +22=66

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