SOLUTION: When three numbers are added two at a time, the sums are 33, 48, and 53. The sum
of all three numbers is:
(A) 134 (B) 86 (C) 81 (D) 67 (E) 53
Algebra.Com
Question 281893: When three numbers are added two at a time, the sums are 33, 48, and 53. The sum
of all three numbers is:
(A) 134 (B) 86 (C) 81 (D) 67 (E) 53
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
(3)
This is 3 equations and 3 unknowns,
so it's solvable
Subtract (3) from (2)
(2)
(3)
Add this result to (1)
and,
and,
(3)
The answer is (D)
RELATED QUESTIONS
Please help me solve this word problem:
What three
numbers are added two at a... (answered by stanbon)
Three indistinguishable dice are rolled at the same time, and three numbers are... (answered by Edwin McCravy)
if three positive integers are added two at a time, the sums are 998, 1050, and 1234. the (answered by ikleyn,MathLover1)
1. Which of the following values is NOT equal to 34(58+9)?
A. 34 x 67
B. 58(34+9)
C.... (answered by Fombitz)
When four positive integers are added three at a time, the sums are 1068, 1430. 1744, and (answered by ikleyn)
when three numbers are added in pairs,the sums of the pairs are,22,39,and 45. What are... (answered by ankor@dixie-net.com)
The difference of two numbers is -32. The sum of three times the smaller number and twice (answered by graphmatics)
The number of possible sums when two dice are rolled and the numbers display are... (answered by ikleyn)
When each of three numbers is added to twice the sum of the other two, the results are... (answered by solver91311)