SOLUTION: Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and Frank's age.

Question 480912: Alex is 6 years older than Frank. The sum of their ages is 50. Find Alex's age and Frank's age.
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Alex�s age=A
Frank�s age=F
Now Alex is 6 years older than Frank, Which means if we substract 6 from Alex�s age both Alex and Frank will be of same age:
A-6=F..............(1)
Alex�s age and Frank�s age sum is equal to 50
A+F=50..........(2)
Now put the value of F from (1) into (2)
A+(A-6)=50
A+A-6=50
2A-6=50
Add 6 both sides of the above equation.
2A-6+6=50+6
2A=56
Divide by 2 both sides of the above equation
2A/2=56/2
A=28
So Alex is 28 years old.
Now put Alex�s age in equation (1)
A-6=F
28-6=F
22=F
F=22
So Frank is 22 years old.
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