SOLUTION: Bhim is 15 years older than his wife, 35 years older than his son, 37 years older than his daughter. bhim and his wife had been married for 5 years before the son was born. If t
Algebra.Com
Question 1119940: Bhim is 15 years older than his wife, 35 years older than his son, 37 years older than his daughter. bhim and his wife had been married for 5 years before the son was born. If their combined age added up to 167, how old was bhim's wife when they got married.
Found 2 solutions by Theo, ikleyn:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let b = bhim's age today.
let w = bhim's wife's age today.
let s = bhim's son's age today.
let d = bhim's daughter's age today.
the sum of their age today is 167.
b + w + s + d = 167.
b = w + 15
b = s + 35
b = d + 37
solve for w,s,d to get:
w = b - 15
s = b - 35
d = b - 37
the equation of b + w + s + d = 167 becomes:
b + b - 15 + b - 35 + b = 37 = 167
combine like terms to get:
4b - 87 = 167
add 87 to both sides of this equation to get:
4b = 254
solve for b to get b = 254 / 4 = 63.5
bhim is 63.5 today.
bhim's wife is 63.5 - 15 = 48.5 today.
bhim's son is 63.5 - 35 = 28.5 today.
bhim's daughter is 63.5 - 37 = 26.5 today.
the sum of their ages is 63.5 + 48.5 + 28.5 + 26.5 = 167.
bhim was married 5 years before his son was born.
his son was born 28.5 years ago.
add 5 to that to get bhim was married 33.5 years ago.
33.5 years ago, bhim was 63.5 - 33.5 = 30.
his wife was 48.5 - 33.5 = 15.
that's your solution.
bhim's wife was 15 when she married him.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
After reading the condition, it is not clear to me: whose combined age is 167 ?
Combined age of the four participants ?
Or Bhim and his wife only ?
If after reading the condition the reader has such questions, it means that the problem allows different interpretations -
and, therefore, is not a Math problem at all.
RELATED QUESTIONS
Ram is 10 years older than his wife, 33 years older than his son, and 35 years older than (answered by Edwin McCravy)
Mr. Jones is 4 years older than his wife and 31 years older than his son. their ages add... (answered by gsmani_iyer)
at present a person is 4 times older than his son and 3 years older than his wife.after 3 (answered by Cromlix)
the sum of ages a man and his wife is 15 years. the man is 15 years older than his wife.... (answered by richwmiller,Alan3354)
At present a person is 4 times older than his son and is 3 years older than his... (answered by Alan3354)
a man is 3 years older than his wife and four time as old as his son if the son became 15 (answered by ankor@dixie-net.com)
husband is 7 years older than his wife,if his wife is 3 times and 2 years old as her son (answered by ankor@dixie-net.com)
A man is four years older than his wife and 5 times than his son. When the son was born,... (answered by Theo)
A man is four times older than his son but five years older than his wife. The sum of... (answered by Edwin McCravy,Shin123,ikleyn,josgarithmetic)