Sadha is thrice as old as her brother. Four years ago, Sudha's age was 4 times of her brother's age. Find the age of Sudhna. Please answer fast
Answers
Answer:
• Sudha's present age = 36 years.
Step-by-step explanation:
Given:
- Sudha is thrice as old as her brother.
- Four years ago, Sudha's age was 4 times of her brother's age.
To find:
- Present age of Sudha.
Solution:
Let the present age of Sudha's brother be x years.
★ Sudha is thrice as old as her brother.
Then,
- Sudha's present age = 3x years
4 years ago,
- Sudha's age = (3x-4) years
- Sudha's brother's age = (x-4) years
According to the question,
- Four years ago, Sudha's age was 4 times of her brother's age.
→ 3x-4 = 4(x-4)
→ 3x-4 = 4x-16
→ 3x-4x = -16+4
→ -x = -12
→ x = 12
- Present age of Sudha's brother = 12 years.
- Present age of Sudha = 3×12 = 36 years
__________________
Verification:
- Present age of Sudha = 36 years
- Present age of Sudha's brother = 12 years
According to the 1st condition,
Sudha's present age = 3× brother's age
→ 36 = 3×12
→ 36=36
According to the 2nd condition,
4 years ago,
- Sudha's age = (36-4) = 32 years
- Her brother's age = (12-4) = 8 years
→ 32 = 4×8
→ 32 = 32
Hence verified!
Answer :
- Sudha's present age = 36 years
- Her brother's present age = 12 years
Step-by-step explanation :
Given,
- Sudha is thrice as old as her brother.
- Four years ago, Sudha's age was 4 times of her brother's age.
Let the present age of Sudha's brother be x years
Then, the present age of Sudha = 3x years
Four years ago,
Sudha's age = (3x - 4) years
Her brother's age = (x - 4) years
According to the question,
3x - 4 = 4(x - 4)
3x - 4 = 4x - 16
4x - 3x = 16 - 4
x = 12
∴ The present age of Sudha's brother = 12 years
⇒ The present age of Sudha = 3x
= 3(12)
= 36 years
Verification,
Four years ago,
- Sudha's brother's age = 12 - 4
= 8 years
- Sudha's age = 36 - 4
= 32 years
= 4(8)
= 4 × (age of her brother)
Hence verified!