The sum of Buddy and Sol's age is 31. Ten years ago Sol's age was twice that of Buddy. Calculate their ages?
(Question Restore: portions of this question have been edited or deleted!)
(Question Restore: portions of this question have been edited or deleted!)
2 Answers
Buddy is 17 years old. Sol is 24 years old.
Explanation:
Equations
Solution
Buddy is
Explanation:
If we denote Buddy's current age by
The first line tells us that:
B+S=41
Ten years ago, Buddy's age would have been
(S-10) = 2(B-10)
:. S-10 = 2B-20
:. 2B-S = 10
We now need to solve the two equations simultaneously. If we add the two equations:
3B = 51 => B=17
And substituting this into the first equation:
17+S=41 => S=24
Hence:
B=17 andS=24
Validation
B + S = 17+24 = 41
B-10 = 7 andS-10=14
Which satisfies the given conditions