1990 AHSME Problems/Problem 15

Problem

Four whole numbers, when added three at a time, give the sums $180,197,208$ and $222$ . What is the largest of the four numbers?

$\text{(A) } 77\quad \text{(B) } 83\quad \text{(C) } 89\quad \text{(D) } 95\quad \text{(E) cannot be determined from the given information}$

Let $S$ be the sum of the four numbers. Then $180+197+208+222=807=3S\therefore S=269$ , and subtracting $180$ gives $89$ for $\fbox{C}$

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