# Reason + adding - math problems

1. Sum of the seventeen numbers The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
2. 45th birthday This year Mrs. Clever celebrated her 45th birthday. Her three children are now 7.11 and 15 years old. In how many years will Mrs. Clever's age be equal to the sum of her children's years?
3. The tickets The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices.
4. Pine's forest There were so many pines in the forest that if they were sequentially numbered 1, 2, 3,. .. , would use three times more digits than the pine trees alone. How many pine trees were there in the forest?
5. Find the sum Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
6. Pages counting There are pages numbered from 2 to 104 in the book. How many digits have to be printed to number the pages?
7. Game 27 Susan wanted to play the game. In the beginning, the first says a number from 1 to 8. Then the second player adds a number from 1 to 5 and tells the sum. Again, the Susan adds a number from 1-5 and say sum and etc. . . The winner must say the number 27. Wh
8. The Stolen Money A man walks into a store and steals a \$100 bill. 5 minutes later, he returns to the store and buys stuff worth \$70. He pays with the bill that he had stolen, so the owner of the store returns him \$30. How many dollars did the store owner lose?
9. Solve 2 Solve integer equation: a +b+c =30 a, b, c = can be odd natural number from this set (1,3,5,7,9,11,13,15)
10. House numbering The residential house has three entrances numbered even numbers, successive immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers.
11. 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 each of the three was equal to the sum of the remaining two. The conduct
12. Identity 123456789 = 100 Use only three plus or minus characters to correct previous identity/equation.
13. Princess Princess has lost 321 beads and Prince George are all trying to find. On the first day he found all but 83 beads. On the second day he found 68 beads. On the third day he found the rest, but the princess had lost 76. How many beads had Princess after the f
14. Three numbers The sum of the three numbers is 287. These numbers are in a ratio of 3: 7: 1/4 Define these numbers
15. 2d shape Calculate the content of a shape in which an arbitrary point is not more than 3 cm from the segment AB. The length of the segment AB is 5 cm.
16. Toy store In the toy department of store was exposed 28 dolls. 19 dolls were blondes or could speak. 12 dolls were blondes, 14 could speak. How many blondes could speak in the toy department? How many blondes could not speak?
17. Christmas Father said: "exactly after 56 hours we will sit down to Christmas Eve table" How was and what time it was when Father said this sentence? The Christmas Eve table they sit down at exactly 6 PM hour. Fill letters instead of digits so the indicated sum (equal letters represent equal digits). What number is hidden under the letter J? A A H A H O A H O J -------------------------- 4 3 2 1 Jana and David train the addition of the decimal numbers so that each of them will write a single number and these two numbers then add up. The last example was 11.11. David's number had the same number of digits before the decimal point, the Jane's numbe The flower has six flowers and each flower has a number. These are the numbers: 20,40,39,28,8,9. What number will be in the middle of the flower so that the numbers come from the flowers when we subtract and add?