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Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of

her son's. How old are Bob and Bob's mom now?

User Enzian
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2 Answers

3 votes

Answer:

12 and 36 = bob is 12 and bob's mother is 36

User Papafe
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6 votes

I would use a chart to solve this problem.

This is a good wya to organize your information.

Down the left side, list the people involved.

I put Bob first and the mom second but the order doesn't matter.

Since Bob's mom is 3 times older than Bob, we can represent

Bob's age now as x and Bob's mom's age now as 3x.

Bob's age in 12 years will be x + 12 and Bob's mom's

age in 12 years will simply be 3x + 12.

Since the second sentence starts with in 12 years,

we will be using the information from our second column.

In 12 years, Bob's mom's age, 3x + 12, will be,

equals, twice of her son's age, 2(x + 12).

Solving from here, we find that x = 12.

This means that Bob's age now is 12 and his mom is 36.

The chart is attached below.

Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of-example-1
User Nelstaar
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