SOLUTION: A son's age is half of his mother's age. The mother is 5 years younger than the father. Their total age is 100 years. How old is each of them ?😭

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: A son's age is half of his mother's age. The mother is 5 years younger than the father. Their total age is 100 years. How old is each of them ?😭      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1045522: A son's age is half of his mother's age. The mother is 5 years younger than the father. Their total age is 100 years. How old is each of them ?😭
Found 2 solutions by advanced_Learner, addingup:
Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
let s be son age,m be mother age and f be father age.
s=1%2F2%2Ameq 1

f-m=5 eq 2

m%2Bf%2Bs=100 eq3


m%2Bf%2B0.5m=100
f%2B1.5m=100
10f%2B15m=1000
15f-15m=75
25f=1075
f=43
from eq2
f-m=5 eq 2
m=f-5
m=38
from eq 1
s=1%2F2%2Ameq 1
s=1%2F2%2A38
s=19
so
son is 19,mom is 38 and father is 43

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
son = 1/2 mother
father = m+5
s+f+m = 100 substitute
1/2m+m+5+m = 100
2 1/2m+5 = 100
2 1/2m = 95
m = 95/2.5 = 38 the mother is 38
The son is 1/2 mother, so he is: 38/2 = 19
The father is 5 years more than mom: 38+5= 43
-------------------------------
Check:
38+19+43 = 100 Correct
:
John