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.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) (Show Source): You can put this solution on YOUR website!
let s be son age,m be mother age and f be father age.
=eq 1
eq 2
= eq3
=
=
=
from eq2
eq 2
from eq 1
=eq 1
=
=
so
son is 19,mom is 38 and father is 43
Answer by addingup(3677) (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
RELATED QUESTIONS
if a girl is half of her mother,s age and the mother is five years young than the father... (answered by ankor@dixie-net.com)
jim is half his mother's age, his mother is 5 years younger than his father, in total... (answered by mhel12jhane)
A son is half the age of his mother. His father is five years older than his mother. Find (answered by JulietG)
A girl's age is half of her mother's age,her mother is 5 years younger than her... (answered by Alan3354)
A mother is 15 years older than her son. The mother's age is 5 years more than twice her... (answered by ewatrrr,josgarithmetic)
Sum is half the age of his mother and his mother is five years younger than his father... (answered by Fombitz)
what is the age of each of these;if son's age is half his mother's age and mother's age... (answered by ikleyn)
The daughter is half the age of the mother and the mother is 5 years younger than the... (answered by Cromlix,MathTherapy)
a father is 3 years older than his wife,and the child's age is half of the mother's age.... (answered by ikleyn,josgarithmetic)