Difference between revisions of "1990 AHSME Problems/Problem 15"
(Created page with "== Problem == Four whole numbers, when added three at a time, give the sums <math>180,197,208</math> and <math>222</math>. What is the largest of the four numbers? <math>\text{...") |
|||
| Line 10: | Line 10: | ||
== Solution == | == Solution == | ||
| − | <math>\fbox{C}</math> | + | Let <math>S</math> be the sum of the four numbers. Then <math>180+197+208+222=807=3S\therefore S=269</math>, and subtracting <math>180</math> gives <math>89</math> for <math>\fbox{C}</math> |
== See also == | == See also == | ||
Latest revision as of 05:37, 4 February 2016
Problem
Four whole numbers, when added three at a time, give the sums 
and 
. What is the largest of the four numbers?
Solution
Let 
be the sum of the four numbers. Then 
, and subtracting 
gives 
for 
See also
| 1990 AHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 14 |
Followed by Problem 16 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
