Question

12. Shreya is twice as old as her brother. Three years
ago, Shreys's age was three times of her's brother's
age. Find the age of Shreya.​

Answer 1

★ AnswEr :-

• 12 years

★ GivEn :-

• Shreya is twice as old as her brother.
• Three years ago, Shreya's age was three times of her's brother's age.

★ To Find :-

• Age of Shreya

★ Solution :-

➠Let the age of Shreya's brother be x years.

➠Therefore, the age of Shreya is 2x years.

➠ Three years ago,

➠The age of Shreya's brother was ( x - 3 ) years.

➠And the age of Shreya was ( 2x - 3 ) years.

➠According to the question,

$\implies \sf \: 3(x-3) = 2x -3$

$\implies \sf \: 3x - 9 = 2x - 3$

$\implies \sf \: 3x - 2x = 9 - 3$

$\implies \boxed{ \red{ \bold{x = 6}}}$

Therefore, the age of Shreya is 6 × 2 = 12 years!

Answer 2

Answer:

Given :-

• Shreya is twice as old as her brother.
• Three years ago, Shreya's age was three times of her's brother's age.

To Find :-

• What is the age of Shreya.

Solution :-

» Let, the Shreya's brother age be x

» And, the age of Shreya be 2x

➤ Three years ago,

» Age of Shreya's brother will be x - 3 years

» And, the age of Shreya will be 2x - 3 years

According to the question,

⇒ 3(x - 3) = 2x - 3

⇒ 3x - 9 = 2x - 3

⇒ 3x - 2x = - 3 + 9

➠ x = 6

Hence, the required ages will be,

✧ Age of Shreya's brother = x = 6 years

✧ Age of Shreya = 2x = 2(6) = 12 years

∴ The age of Shreya is 12 years .

★ Let's Verify :-

↦ 3(x - 3) = 2x - 3

Put x = 6 we get,

↦ 3(6 - 3) = 2(6) - 3

↦ 18 - 9 = 12 - 3

↦ 9 = 9

➦ LHS= RHS

Hence, Verified ✔