SOLUTION: Ahmed is two years and eight months older than his sister. In two years time their combined ages is eleven years and four months. How old is Ahmed and his sister?

Question 1152195: Ahmed is two years and eight months older than his sister. In two years time their combined ages is eleven years and four months. How old is Ahmed and his sister?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Change yrs to months, 1 yr = 12 mon
Ahmed is two years and eight months older than his sister.
a = s + 32
In two years time their combined ages is eleven years and four months.
(a+24) + (s+24) = 136
a + s + 48 = 136
a + s = 136 - 48
a + s = 88
Replace a with (s+32) from the first equation
(s+32) + s = 88
2s = 88 - 32
2s = 56
s = 56/2
s = 28 months is the sister's age which is 2 yrs 4 months
then
a = 28 + 32
a = 60 months is A's age or 5 yrs old
:
:
Check by finding the sum of their ages in 2 yrs
7 yrs 0 mon
4 yrs 4 mon
-------------
11yrs 4 mon

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