SOLUTION: The largest of three numbers is 10 more than the smallest. The middle number is the average of the other two. If the sum of the three numbers is 42, what are the three numbers?

Question 246748: The largest of three numbers is 10 more than the smallest. The middle number is the average of the other two. If the sum of the three numbers is 42, what are the three numbers?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
L=largest
m=middle
s=smallest
L=10+s
m=(L+s)/2
L+m+s=42
first substitute (L+s)/2 for m
L+((L+s)/2)+ s=42
now substitute 10+s for L
(10+s)+((10+s)+s)/2+s=42
simplify
10+2s+(10+2s)/2=42
2s+(10+2s)/2=32
multiply by 2
4s+10+2s=64
6s=54
s=9
L=10+s
m=(L+s)/2
substitute 9 in for s

RELATED QUESTIONS
The largest of three numbers is 10 more than the smallest. The middle number is the... (answered by vksarvepalli)

The sum of three numbers is 21. The largest number is two more than three times the... (answered by Cromlix)

Three numbers have a sum of 31. The middle number is 1 more than the smallest number. (answered by checkley79)

I need help with the equation. The sum of three numbers is 47. Three times the smallest... (answered by Earlsdon)

The sum of three numbers is 34. The largest number is five more than three times the... (answered by Edwin McCravy,josgarithmetic)

The sum of three numbers is 72 The middle number is one less than three times the... (answered by Edwin McCravy)

Find three consecutive whole numbers such that twice the sum of the two smallest numbers... (answered by tazoftroy)

find three consecutive whole numbers such that twice the sum of the two smallest... (answered by drj)

Find three consecutive whole numbers such that twice the sum of the two smallest numbers... (answered by stanbon)