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Do you have any questions about Olympic mathematics?
Sum and difference, sum times and difference times

Basic class

1. Brother 15 years old, sister 20 years old. How old are the two sisters when the sum of their ages is 75?

2. Difference between two piles of stones 16. If mixed together, it can be divided into three piles and 28 stones. How many stones were there in the original two piles?

3. Red and light blue * * * have 6 1 book, red gave five books to light blue, and light blue bought three new books. Red is now two books less than light blue. Q: How many books do they each have?

There are 90 more peach trees in the orchard than apricot trees, and the number of peach trees is three times that of apricot trees. How many peach trees and apricot trees are there respectively?

There are two pieces of cloth, the first piece is 74 meters long and the second piece is 50 meters long. After each piece of cloth with the same length is cut, the number of meters left in the first piece is three times that of the second piece. How many meters are cut from each piece of cloth?

6. The number of teachers in School A and School B is equal. Because of the need of work, 30 teachers were transferred from school A to school B. At this time, the number of teachers in school B is exactly three times that of school A. How many teachers are there in A and B schools?

7. There are two pieces of cloth of the same length. The first piece sells for 25 meters, the second piece sells for 14 meters, and the remaining piece of cloth is twice as long as the first piece. How many meters is each piece of cloth?

answer

1. My sister is 40 years old and my brother is 35 years old.

Solution: the age difference is 20- 15 = 5 (years),

Sister (75+5) ÷ 2 = 40 (years old),

Brother 40-5=35 (years old).

2.50 capsules, 34 capsules.

Solution: (28× 3+ 16) ÷ 2 = 50 (particle), 50- 16 = 34 (particle).

There are 36 red books and 25 blue books.

Solution: It turns out that red is 5× 2+3-2 = 1 1 (Ben) more than blue.

It turns out that there is (61+11) ÷ 2 = 36 (Ben)

Light light blue has 6 1-36=25 (Ben).

4. Number of apricot trees: 90÷(3- 1)=45 (plants) Number of peach trees: 45×3= 135 (plants).

5. Take the remaining meters of the second piece of cloth as a multiple of 1;

(74-50) ÷ (3- 1) = 12 (m)

Number of meters cut: 50- 12=38 (meters).

6. After transferring 30 students, the number of students in a school is 1 time;

(30×2)÷(3- 1)=30 (person)

The original teachers in A and B schools are 30+30=60 (persons) each.

7.(25- 14)÷(2- 1)+25

= 1 1÷ 1+25

= 1 1+25

=36 (meters).