SOLUTION: The sum of ahmed's age and his son age is 50. Last year ahmed was three times as old as his son. How old is ahmed this year?

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Question 941095: The sum of ahmed's age and his son age is 50. Last year ahmed was three times as old as his son. How old is ahmed this year?
Answer by laoman(51) About Me  (Show Source):
You can put this solution on YOUR website!
Let ahmed's age be a, let the son's age be s
From first statement, a + s = 50
From second statement, a-1 = 3*(s-1)
a-1 = 3s - 3
Solving these equations
a+s = 50
a - 3s = -2
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++1%5Ca+%2B+1%5Cs+=+50%2C%0D%0A++++1%5Ca+%2B+-3%5Cs+=+-2+%29%0D%0A++We'll use substitution. After moving 1*s to the right, we get:
1%2Aa+=+50+-+1%2As, or a+=+50%2F1+-+1%2As%2F1. Substitute that
into another equation:
1%2A%2850%2F1+-+1%2As%2F1%29+%2B+-3%5Cs+=+-2 and simplify: So, we know that s=13. Since a+=+50%2F1+-+1%2As%2F1, a=37.

Answer: system%28+a=37%2C+s=13+%29.


Therefore, Ahmed is 37 years old this year