SOLUTION: The greatest of three numbers is 10 more than the smallest. The remaining number is twice the smallest number. The greatest number is 2 more than the sum of the other two numbers.

Algebra.Com
Question 1092823: The greatest of three numbers is 10 more than the smallest. The remaining number is twice the smallest number. The greatest number is 2 more than the sum of the other two numbers. Find the numbers.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let the 3 numbers in order of greatest to smallest =
, , and
------------------------------
(1)
(2)
(3)
---------------------------
There are 3 equationd and 3 unknowns,
so it's solvable
Plug (1) and (2) into (3)
(3)
(3)
(3)
(3)
and
(2)
(2)
and
(1)
(1)
---------------------
a = 14
b = 8
c = 4
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The greatest of three numbers is 10 more than the smallest. The remaining number is twice the smallest number. The greatest number is 2 more than the sum of the other two numbers. Find the numbers.
Let the smallest number be S

Then largest = S + 10

Middle/2nd smallest/2nd largest = 2S

Also, S + 10 = S + 2S + 2

S + 10 = 3S + 2

S - 3S = 2 - 10

- 2S = - 8

S, or smallest number = 

You should be able to fund the other 2. I can't do everything for you. 

RELATED QUESTIONS


Please help!

The sum of three numbers is 29. The greatest number is four times the... (answered by ankor@dixie-net.com)

The greatest of three numbers is 40 more than the smallest. The remaining number is 5less  (answered by rfer,ptaylor)

the greatest of three numbers equals the product of -7 and the smallest number, and the... (answered by rwm)

 The sum of three numbers is 47.  One number is three more than the smallest number, and... (answered by hamsanash1981@gmail.com)

Find three consecutive numbers such that twice the smallest number is 23 more than the... (answered by stanbon)

find three consecutive numbers whose sum is 15 more than twice the smallest... (answered by mananth)

The greatest of three Consecutive whole numbers is X. Find the sum of X times the... (answered by ankor@dixie-net.com)

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)