Question

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​

Answer 1

Given:

• Sudhna 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 present age of sudhna's brother be x years.

☯ Therefore, Present age of sudha = 3x years.

Their ages before 4 years,

• Age of sudhna = (3x - 4) years
• Age of sudhna's brother = (x - 4) years

★ According to the Question:

• Four years ago, Sudhna'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

Therefore,

• Present age of sudhna's brother, x = 12 years
• Present age of sudhna, 3x = 3 × 12 = 36 years

∴ Hence, Present age of sudhna is 36 years.

Answer 2

Correct Question-:

• Sudha is thrice as old as her brother. Four years ago, Sudha's age was 4 times of her brother's age. Find the present age of Sudhna.

AnswEr -:

• $\boxed{\sf{\purple {The \: present \: age \: of \: Sudha\: is \:36\: years \:and \:her\:brother's \:present\:age\:is \:12 \: years .}}}$

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 .

Therefore ,

• The age of Sudha is thrice as old as her brother 3 × x = 3x years .

☆ Their ages before 4 years ,

• Sudha's age be (3x - 4) years

• Sudha brother's age will be (x - 4 ) years .

According to the question,

• Four years ago, Sudha's age was 4 times of her brother's age.

$\pink{\sf{\rightarrow {3x -4 = 4(x-4)}}}$

$\pink{\sf{\rightarrow {3x -4 = 4x-16)}}}$

$\pink{\sf{\rightarrow {3x -4x = -16+4}}}$

$\pink{\sf{\rightarrow {-x = -12}}}$ [ "-" sign will be eliminated from both side ]

$\pink{\sf{\rightarrow {x = 12}}}$

Therefore,

$\boxed{\sf{\purple {x = 12 }}}$

Now ,

• The present age of Sudha's brother be x = 12 years .
• The present age of Sudha is 3x = 3 ×12 = 36 years .

Hence ,

• $\boxed{\sf{\purple {The \: present \: age \: of \: Sudha\: is \:36\: years \:and \:her\:brother's \:present\:age\:is \:12 \: years .}}}$

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