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Application problems of solving equations in fifth grade mathematics in primary school (solving sum equations and steps)
1. solution: suppose that after x years, the father is three times as old as his son.

(43+x)× 1/3 = 1 1+x

129/3+ 1/3x=33/3+x

129/3=33/3+2/3x

x=5

Six years later, the father is three times as old as his son.

2. Solution: Suppose there are X ping-pong balls and 3 (x-20) badminton balls.

3(x-20)+x= 120

4x-60= 120

4x= 180

x=45

Badminton: (45-20)×3=75 (each)

A: There are 45 table tennis and 75 badminton.

3. Solution: Suppose that when we meet, train B travels x kilometers and train A travels (x-40) kilometers.

[x+(x-40)]×2.4=960

2x-40=960÷2.4

x=440

440-40=400 km

A: When they met, Car A traveled 400 kilometers and Car B traveled 440 kilometers.

4. Solution: It takes x hours to complete.

3x+ 12x=96-6

15x=90

x=6

A: It will take another six hours.

5. Solution: Let the car run at the speed of X kilometers per hour.

(5-2)x=300

3x=300

x= 100

Cars travel every hour 100 km.

6. Solution: Suppose they need X hours to complete.

[(8×2-2)+8]x= 143

22x= 143

x=6.5

Principal (8×2-2)×6.5=9 1 (each)

Apprentices 8×6.5=52 (each)

It took them 6.5 hours to finish. The master made 9 1 piece, and the apprentice made 52 pieces.