Question

Sweety’s mother is 12 years more than twice Sweety’s age. After 8 years, she will be 20 years less than three times Sweety’s age. Find Sweety’s age and Sweety’s mother’s age?

Answer 1

To find Sweety's age and Sweety's mother's age in the given problem, we can set up an equation based on the given information and solve for the variables. By solving the equation, we find that Sweety's age is 16 years and Sweety's mother's age is 44 years.

Step-by-step explanation:

Problem:

Sweety’s mother is 12 years more than twice Sweety’s age. After 8 years, she will be 20 years less than three times Sweety’s age. Find Sweety’s age and Sweety’s mother’s age?

Solution:

1. 
   
3. Let Sweety's age be represented by 'x'
4. 
   
6. According to the problem, Sweety’s mother is 12 years more than twice Sweety’s age. Therefore, Sweety’s mother’s age is represented by '2x + 12'
7. 
   
9. After 8 years, Sweety's age will be 'x + 8', and Sweety’s mother's age will be '2x + 12 + 8'
10. 
    
12. According to the problem, Sweety’s mother will be 20 years less than three times Sweety’s age. Therefore, the equation becomes: '2x + 12 + 8 = 3(x + 8) - 20'
13. 
    
15. Solve the equation: '2x + 20 = 3x + 24 - 20'
16. 
    
18. Simplifying the equation, we get: '2x + 20 = 3x + 4'
19. 
    
21. Bringing like terms to one side, we get: '2x - 3x = 4 - 20'
22. 
    
24. Simplifying further, we get: '-x = -16'
25. 
    
27. Dividing both sides of the equation by -1, we find: 'x = 16'
28. 
    
30. Therefore, Sweety's age is 16 years, and Sweety’s mother’s age is 2(16) + 12 = 44 years

Answer 2

Sweety's age = 16 years and Sweety’s mother’s age = 44 years

Step-by-step explanation:

Let Sweety's age is x.

Sweety’s mother age = 12+2x

After 8 years,

Sweety's age = x+8

Sweety’s mother age = 12+2x+8

Since Mother's age will be 20 years less than three times my age.

2x+20 = 3(x+8)-20

2x+20=3x+24-20

2x+20=3x+4

Taking like terms together,

20-4=3x-2x

x = 16

Sweety's age = 16 years

Sweety’s mother’s age = 12+2x

= 12+2(16)

= 12 + 32

= 44 years

Hence, Sweety’s age and Sweety’s mother’s age is 16 years and 44 years respectively.