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Flexible mathematical problems
1. has three digits, and the sum of its digits is 16. Ten digits is the sum of one digit and one hundred digits. If one digit of the hundred digits is reversed, the new number is 594 larger than the original number, and the original number is found. (one yuan for one answer)

Answer: Let the hundredth digit be A, the tenth digit be B and the first digit be C. 。

Then100c+10b+a-10a+10b+c = 594.

=( 100 c+-c)+( 10 b+- 10 b)+(- 100 a+a)= 594

=99c+-99a=594

=99(c-a)=594

=594/99=a-c

= 6 = a-c16/2 = 8 (8-6)/2 =11+6 = 7 The original number is 78 1.

2. Divide 99 into 4 numbers, make the first number add 2, the second number subtract 2, the third number multiply 2, and the fourth number divide 2, and the results are all equal. How to divide it?

Let this number be a.

Then: (a-2)+(a+2)+(a/2)+(2a)=99.

=a+a+2a+a( 1/2)

=4 and 1/2a 99 divided by 4 is half of 1a=22. This number is 20, 24, 1 1, 44.

3. Village A, Village B and Village C jointly build the canal, and the planned labor force is 176 people. Because the population of each village is different, it is reasonable to share it according to the ratio of 2: 3: 6. How many laborers are sent to each of the three villages?

2+3+6 =11176/1=16a: 2 times 16=32.

B: 3 times 16=4 1.

C: 6 times 16=96.

A middle school holds a sports meeting. The sum of the number of participants in Class A and Class C in Grade 7 is three times that of Class B, with 40 participants in Class A and less participants in Class B 10. Please invite Class B to participate in the sports meeting.

40- 10=30 people 3- 1=2 30/2= 15 people The number of participants in class A:B is 15 people.

Xiao Wang took part in a bicycle race on a mountain in the east. After the starting gun rang, he rushed out at a speed of 10m per second. Five seconds later, he heard the echo from the mountain. In order to know that the direction of Xiao Wang riding a bicycle is from west to east, and the speed of sound is 340m per second, find the distance from the starting line to the mountain.

5 times 10=50m 340 times 5 =1700m1700+50 = 1750m A: The distance from the starting line to the mountain is1750m.