SOLUTION: the age of a man is the same as his wife's age with the digits reversed. if the sum of the age is 99 and the man is 9 years older than his wife, how old is he?
Algebra.Com
Question 843344: the age of a man is the same as his wife's age with the digits reversed. if the sum of the age is 99 and the man is 9 years older than his wife, how old is he?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the age of a man is the same as his wife's age with the digits reversed.
Let 10a+b = man's age
let 10b+a = wife's age
if the sum of the age is 99
10a+b + 10b+a = 99
11a + 11b = 99
simplify, divide by 11
a + b = 9
and the man is 9 years older than his wife,
10a+b - 10b+a = 9
9a - 9b = 9
simplify divide by 9
a - b = 1
:
Add the two equations
a + b = 9\
a - b = 1
----------
2a = 10
a = 5 is the man's 1st digit
then
b = 4 is his 2nd digit
:
He's 54 and wife's 45
how old is he?
RELATED QUESTIONS
The age of a man is the same as his wife's age with the digits reversed. The sum of their (answered by ankor@dixie-net.com)
The age of a man is the same as his wife's age with the digits reversed. If the sum of... (answered by TimothyLamb)
A man is four years older than his wife and 5 times than his son. When the son was born,... (answered by Theo)
the sum of ages of a man,his wife and his son is 85 years. the man is 5 years less than... (answered by stanbon)
a man is four years older than his wife and 5 times as old as his son.when the son was... (answered by Edwin McCravy)
A man is 4 years older than his wife and 5 times as old as his son.When the son was... (answered by Maths68)
the sum of the ages of a man and his wife is 63. In nine years, the wife’s age plus one (answered by josmiceli,MathTherapy,ikleyn)
A man is twice as old as his son and five years older than his wife. The total of
Their... (answered by josgarithmetic)
the sum of ages of a man and his wife ages is 99 years and the man is 9 years older than... (answered by flame8855)