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Flashcards: Word Problems

Mark is three times as old as his son Brian. In ten years, Mark will be $\displaystyle 43$ years old. In how many years will Mark be twice as old as Brian?

$\displaystyle 20$

$\displaystyle 22$

$\displaystyle 13$

$\displaystyle 11$

$\displaystyle 17$

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Flashcards: Word Problems

Mark is three times as old as his son Brian. In ten years, Mark will be $\displaystyle 43$ years old. In how many years will Mark be twice as old as Brian?

$\displaystyle 20$

$\displaystyle 22$

$\displaystyle 13$

$\displaystyle 11$

$\displaystyle 17$

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Flashcards: Word Problems

Mark is three times as old as his son Brian. In ten years, Mark will be $\displaystyle 43$ years old. In how many years will Mark be twice as old as Brian?

Your answer:

$\displaystyle 20$

Your answer:

$\displaystyle 22$

Your answer:

$\displaystyle 13$

Your answer:

$\displaystyle 17$

Correct answer:

$\displaystyle 11$

Explanation:

In ten years, Mark will be $\displaystyle 43$ years old, so Mark is $\displaystyle 43-10 = 33$ years old now, and Brian is one-third of this, or $33 \div 3 = 11$ $\displaystyle 33 \div 3 = 11$ years old.

Let $\displaystyle N$ be the number of years in which Mark will be twice Brian's age. Then Brian will be N + 11 $\displaystyle N + 11$ , and Mark will be N + 33 $\displaystyle N + 33$ . Since Mark will be twice Brian's age, we can set up and solve the equation:

$\displaystyle 2 (N + 11) = N + 33$

$\displaystyle 2N + 22 = N + 33$

$\displaystyle 2N + 22-N - 22 = N + 33 -N - 22$

N = 11 $\displaystyle N = 11$

Mark will be twice Brian's age in $\displaystyle 11$ years.

Flashcards: Word Problems

Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is $\displaystyle 37$ years old?

Not enough information is given to determine the answer.

$\displaystyle 16$

$\displaystyle 24$

$\displaystyle 21$

$\displaystyle 14$

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Flashcards: Word Problems

Gary is twice as old as his niece Candy. How old will Candy will be in five years when Gary is $\displaystyle 37$ years old?

Your answer:

Not enough information is given to determine the answer.

Your answer:

$\displaystyle 16$

Your answer:

$\displaystyle 24$

Your answer:

$\displaystyle 14$

Correct answer:

$\displaystyle 21$

Explanation:

Since Gary will be 37 in five years, he is $\displaystyle 37 - 5 = 32$ years old now. He is twice as old as Cathy, so she is $32 \div 2 =16$ $\displaystyle 32 \div 2 =16$ years old, and in five years, she will be $\displaystyle 16 + 5 = 21$ years old.

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Flashcards: Word Problems

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Flashcards: Word Problems

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Flashcards: Word Problems

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Flashcards: Word Problems

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