Question

Bob and Carol are teenagers. Bob is two years older than Carol. If the digits of Carol's age are reversed, the new number would be three times as large as Bob's age. Find Bob's age.

Answer 1

Bob is 2 years older than Carol and the reverse of Carol's age is 3 times Bob's age, which makes Bob's to be 17 years.

How can Bob's age be calculated?

Let 1B represent Bob's age and let 1C represent Carol's age, we can write the following equations;

• 1B = 1C + 2

Reversing Carol's age gives;

• C1 = 3 × 1B

The multiples of 3 that have the form X1 have 7 as the rightmost number.

Given that 1B is a teenager, we have;

When;

• 1B = 17
• 1C = 17 - 2 = 15

The reverse of Carol's age is therefore;

• C1 = 51 = 3 × 17

Therefore, from the given description, Bob's age 1B = 17 years

• Bob is 17 years old

Learn more about writing equations here:

brainly.com/question/18831805

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