Z9–I–4 MO 2017
Numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 were prepared for a train journey with three wagons. They wanted to sit out so that three numbers were seated in each carriage and the largest of the three was equal to the sum of the remaining two. The conductor said it was not a problem and tried to help the numbers. On the contrary, the dispatcher claimed that it was not possible. Decide who is right.
Correct answer:
Showing 1 comment:
Dr Math
Dispatcher is right. In each wagon shall be the sum of the numbers even. In one wagon must sit 9 and therefore the next two numbers whose sum is 9 and overall sum in the wagon is 18. The total sum of all numbers is 45 and the other two wagons already account for 45-18 = 27. However even number 27 can not be decomposed into the sum of two even numbers (in each wagon, the sum is always even). And so the task is not a solution and dispatcher's right.
6 years ago 1 Like
You need to know the following knowledge to solve this word math problem:
Themes, topics:
Grade of the word problem:
Related math problems and questions:
- The average 10
The average of three fractions is 2 3/8. If two of the fractions are 2 1/5 and 1 2/3, what is the total value of the three fractions? - Coordinates - rectangle
Find the perimeter of the rectangle with vertices A(1,4), B (1,0 ), C (4,0), D (4,4 ) - The temperature 46
The temperature in Mumbai at 5 AM is 25 degrees Celsius. It rises 3 degrees Celsius every hour for the next two hours and then 5 degrees Celsius per hour for the next 3 hours. What is the temperature after 5 hours? - Xero had
Xero had a piece of ribbon. He used 0.4 of it to tie 2 small boxes and 2 large boxes. The length of ribbon needed for a large box is 3 times the length of ribbon needed for a small box. Xero used 5/6 of the remaining ribbon to decorate the presents. a) Wh - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - AP with variables
What is the second member in the arithmetic sequence with 7 terms, whose first and last terms are x+2y and 7x-4y - A trail mix
Diego is making a trail mix for him and his friends to take with them on a hike next week. He mixes 4 2/6 pounds of mixed nuts, 3 3/6 pounds of peanuts, and 2 3/6 pounds of chocolate chips. How many 1/3-pound bags of trail mix can he make? - Heads and legs 2
There are a number of unspecified numbers of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den. - A college
A college student operated a small business in his home selling greeting cards and other school supplies. During the month of December, his sales amounted to P2105.00, his purchases to P1450.00, and his expenses to P287.00.if his inventory at the end of t - Dataset: 2
Dataset: 4, 9, 7, 8, 5, 2 a. What number is n in xn? b. Find ∑x c. Find ∑(x-2)2 d. Find √∑(x-2)²/6 - The sum 35
The sum of the two numbers is -20. One number is 3 more than the other one. Find the numbers. - Decimal numbers
When two decimal numbers are multiplied, the answer is 0.072. When the same two decimal numbers are added, the answer is 0.72. What are the two decimal numbers? - The sum 31
The sum of two fractions is 13 3/4. Their difference is 8 1/5. What are fractions? - Sum of 24
The sum of the two numbers is 95. If one exceeds the other by 15, find the numbers. - Two numbers 14
Two numbers are in the ratio 7:9. If the sum of the numbers is 112, then the larger number is: - The sum 25
The sum of the two numbers is 215. If the ratio is 2: 3, find the larger number. A. 86 B, 129 C. 215 D. 381 - Soccer season
Joel is training for soccer season. On Monday, Joel exercises for 20 minutes before school, and 25% of that time is spent playing soccer. On Mondays, he exercises for 60 minutes after school, and 40% of that time is spent playing soccer. What is the total