Question

Solve with solution and answer
Rick is twice as old as Amor. Three years ago, Rick was thrice as old as Amor. Write an equation that can be used to solve for the present age of amor.

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Answer 1

Answer:

Equation goes like this :

⇒ (2x - 3) = 3(x - 3)

Step-by-step explanation:

Given that,

Rick's age is 2× age of Amor

3 years ago Rick was 3× of Amor's age

Here, If we assume present age of :

→ Amor as x years.

→ Rick will be = 2x years.

Now, 3 years ago their age can be :

→ Amor's = (x - 3) years.

→ Rick's = (2x - 3) years.

As it is told Rick is thrice the age of Amor

We can say that,

➙ Rick's age is equal to 3× of Amor's age

ᴏʀ,

⇒ (2x - 3) = 3(x - 3)

Therefore, solving this equation we can find the age of Amor and Rick.

_____________________

✦ Further solving the equation :

⇒ (2x - 3) = 3(x - 3)

⇒ 2x - 3 = 3x - 9

⇒ 9 - 3 = 3x - 2x

⇒ 6 = x

⇒ x = 6 years.

✦ Hence, the age of :

➪ Amor is = x = 6 years.

➪ Rick is = 2x = 12 years.