Question

Terry the cat is two-thirds of the age of tuffy.if the diffrence in their ages is 4 years

Answer 1

Hello Dear.

Here is the answer---

Let the age of the Terry and the Tuffy be x and y years respectively.

Now, As per as the Questions,

Age of Terry = 2/3 × Age of Tuffy.
∴ x = 2y/3     ------→ eq(i)


Also,
  Tuffy's age - Terry's age = 4
⇒ y - x = 4
⇒ y - 2y/3 = 4
⇒ 3y - 2y = 4 × 3
⇒ y = 12

Now, y = 12 in eq(i),
 x = 2y/3
x = 2 × 12/3
x = 2 × 4
x = 8

∴ Age of Terry is 8 years and Age of Tuffy is 12 years.


Hope it helps.

Answer 2

Answer :

Let us consider that the age of Terry the cat and the age of Tuffy are x years and y years respectively, where y > x

By the given conditions,

x = 2/3 y

⇒ 3x = 2y ...(i)

and

y - x = 4

⇒ y = x + 4 ...(ii)

Now, putting y = x + 4 in (i), we get

3x = 2 (x + 4)

⇒ 3x = 2x + 8

⇒ 3x - 2x = 8

⇒ x = 8

So, x = 8

From (ii), we get

y = 8 + 4

⇒ y = 12

So, y = 12

Therefore, the age of Terry the cat is 8 years and the age of Tuffy is 12 years.

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