SOLUTION: The total age of a family of 3 is 100,the mom is 5years yonger than the dad and the son is half the mom's age.what are their ages?

Question 867431: The total age of a family of 3 is 100,the mom is 5years yonger than the dad and the son is half the mom's age.what are their ages?
Answer by dkppathak(439) (Show Source): You can put this solution on YOUR website!
The total age of a family of 3 is 100,the mom is 5years yonger than the dad and the son is half the mom's age.what are their ages?
let age of of mom is x yrs
son age is =x/2 yrs ( as per given conditions )
dad age is = x+5 ( as per given conditions )
sum of age of 3 members of family is 100 yrs
son + mom +dad age =X/2 +X + X+5 =100
X + 2X +2X +!0/2 =100
5X +10 =200
5X= 200-10
5X =190
x=190/5 =38 yrs
therefor age of mom is 38 yrs
Age of dad is X+5= 38+5 = 43 yrs
age of son is X/2= 38/2=19 yrs
Answer son 19 yrs
mom 38 yrs
dad 43 yrs
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