SOLUTION: Mrs.Johnson is 3 times as old as her son.Ten years ago she was 5 times as old as her son was then.Find each of their ages.
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Question 161177: Mrs.Johnson is 3 times as old as her son.Ten years ago she was 5 times as old as her son was then.Find each of their ages.
Found 2 solutions by jojo14344, checkley77:
Answer by jojo14344(1513) (Show Source): You can put this solution on YOUR website!
Son's age=
Mrs.Jonhson's age= , 3 times Son's age
Condition: 10 yrs ago, she was 5 times as old as her son.
---->
, age of Son
, age of Mrs.Johnson
check via the condition
Age of her son 10 yrs ago: 20-10=10yrs
Age of Mrs.Johnson 10 yrs ago: 60-10=50 yrs ---> 5 times the age of her son
Thank you,
Jojo
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
M-10=5(S-10) OR M=5(S-10)+10
M=3S
5(S-10)+10=3S
5S-50+10=3S
5S-40=3S
5S-3S=40
2S=40
S=40/2
S=20 AGE OF SON NOW.
M=3*20=60 AGE OF MOM NOW.
PROOF:
60-10=5(20-10)
50=5*10
50=50
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