Question

The total age of a cat, dog, monkey is 4 year 2 month. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?

Answer 1

The cat is 7 and 2/6 of a month so the dog is one year two months and 4/6 of a month and the monkey is two years four months

Answer 2

28 years

Explanation:

Co-relating their ages:

• Let's say, the cat is x years old.

The dog is twice as old as the cat

• That makes the dog 2x years old.

The monkey is twice as old as the dog.

• That is, 2 × (2x) = 4x years old

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Calculating the total:

Their total age is 4 years 2 months.

1 year has 12 months

=> 4 years have (4 × 12)

= 48 months

Since, the total age is 4 years 2 months, we can express it in "months" by adding "48" and "2".

= 50 months

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Solving for x:

Sum of their ages = 50 months

=> x + 2x + 4x = 50

=> 7x = 50

=>x = 50/ 7 months

If we write this in mixed fractions the whole number will represent the number of years.

=

`\mathsf{7 (1)/(7) \: \: months}`

`= \mathsf{7 \: years \: (1)/(7) \: \: months}`

The value of 1/ 7 is really small,I.e., 0.1428...

So, we can ignore the fraction while rounding off the term that makes it

`\mathsf{x = 7yrs.(approx.)}`

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Recall:

x is the age of the cat.

The monkey's age is "4x"

= 4 × 7

= 28 years.

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Answer:

So, the monkey's age is approximately 28 years