Product of the ages of A and B is 1050 and their sum is 65. What is the difference in their ages?
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A age * B age =1050
A age + B age =65
A age* (65-A age)=1050
65 A age-A age^2=1050
A age^2-65 A age-1050=0 by solving this equation
A age^2-30A age-35Aage-1050=0
So roots are A age=30 and 35
So the difference between their ages is 35-30=5
A age + B age =65
A age* (65-A age)=1050
65 A age-A age^2=1050
A age^2-65 A age-1050=0 by solving this equation
A age^2-30A age-35Aage-1050=0
So roots are A age=30 and 35
So the difference between their ages is 35-30=5
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