    Question

# Joe's age , Joe's sister's age and Joe's father age sums upto a century. When son is as old as his father, Joe's sister will be twice as old as now, When Joe's is as old as his father then his father is twice as old as when his sister was as old as her father. Find age of each.

A
20, 30, 50
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B
30, 20, 50
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C
25, 25, 50
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D
30, 15, 55
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E
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Solution

## The correct option is C 25, 25, 50Let Joe's, Joe's sister and Joe's father age are x, y and z respectively.So, we havex+y+z=100 ............ (i)When x=z then y=2ySubstituting in equation (i) we getx+2y+z=100 i.e.x+y=50 .............. (ii)Hence from (i) and (ii) we getz=50When x=z then x=2xFrom (i) we get2x+y+x=100 i.e.3x+y=100 .............. (iii)Solving equations (ii) and (iii) we getx=25and then from (ii)y=25.Thus, 25, 25, 50 are the ages of each.Hence, option 'C' is correct.  Suggest Corrections  0      Similar questions  Related Videos   Solving Complex Equations
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