# 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 # and# S=24 #

**Validation**

# B + S = 17+24 = 41 #

# B-10 = 7# and#S-10=14#

Which satisfies the given conditions