SOLUTION: The sum of three numbers is 21. The largest number is two more than three times the smallest number. and the middle number is one more than two times the smallest number. what are

Question 1019327: The sum of three numbers is 21. The largest number is two more than three times the smallest number. and the middle number is one more than two times the smallest number. what are the numbers?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make the smallest number = 'x'
Middle number = 1 + 2x
Largest number = 2 + 3x
x + (1 + 2x) + (2 + 3x) = 21
Remove brackets
x + 1 + 2x + 2 + 3x = 21
Collect like terms
x + 2x + 3x = 21 - 1 - 2
6x = 18
x = 3
Smallest number = 3
Middle number = 7
Largest number is 11
Hope this helps :-)
RELATED QUESTIONS
The sum of three numbers is 72 The middle number is one less than three times the... (answered by Edwin McCravy)

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

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

The following is known about three numbers: Twice the largest number plus the second... (answered by MathLover1)

the sum of three numbers is 83. the largest number is eight times the smallest, and the... (answered by addingup)

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

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

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

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