SOLUTION: Edwin is four times as old as Joshua. In 12 years, Joshua's age will be half that of Edwin's. How old are they?

Question 515300: Edwin is four times as old as Joshua. In 12 years, Joshua's age will be half that of Edwin's. How old are they?
Answer by Maths68(1474) (Show Source): You can put this solution on YOUR website!
Let
Present age of Joshua = j
Present age of Edwin = e
Edwin is four times as old as Joshua.
e=4j........(1)
In 12 years
e+12=j+12
then, Joshua's age will be half that of Edwin's
(e+12)*1/2=(j+12)
(e+12)=2(j+12)
e+12=2j+24
e=2j+24-12
e=2j+12
Put the value of e from (1) to above equation
e=2j+12
4j=2j+12
4j-2j=12
2j=12
2j/2=12/2
j=6
Put the value of j in (1)
e=4j
e=4*6
e=24
Present age of Joshua = j= 6 years old
Present age of Edwin = e = 24 years old

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