Rational Age Challenge

Froggy Jumps

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Age problems with fractions

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NELLIE ABAD

Philippines

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Froggy Jumps Rational Age ChallengeOnline version Age problems with fractions by NELLIE ABAD 1 Two siblings' ages are in a 1:2 ratio. In 6 years, their combined ages will be 42. What is the younger sibling's current age? a 12 b 8 c 10 2 A son’s age is x years and his father’s age is (3/2)x. In 8 years, their ages sum to 60. Solve for x. a 20 b 17.6 c 15 3 A mother’s age is (4/3) times her daughter’s age. In 5 years, their combined ages will be 50. Daughter’s current age? a 15 b 120/7 (~17.14) c 20 4 A man’s age is (7/5) of his son’s age. In 4 years, the sum of their ages is 40. Son’s current age? a 10 b 20 c 40/3 (~13.33) 5 An aunt is (2/3) of her nephew’s age. In 3 years, their sum is 30. Nephew’s current age? a 72/5 (14.4) b 12 c 18 6 A grandfather’s age is x and granddaughter’s is x/2. In 12 years, their sum is 60. Grandfather’s current age? a 30 b 24 c 18 7 Ages are in ratio 3:5. In 9 years, their sum is 54. What are the two current ages? a 9 and 15 b 13.5 and 22.5 c 15 and 25 8 Two people ages are in ratio 4:7. In 6 years, their sum is 60. What are their current ages? a 24 and 42 b 16 and 28 c 20 and 35 9 A mother is the fraction (3/5) of her son's age. In 10 years, their combined ages equal 50. Son’s current age? a 18.75 b 15 c 25 10 Two siblings’ ages satisfy x/3 = y/4 (older is x). In 5 years, their ages total 60. Younger sister’s current age? a 20 b 28.57 c 30

Froggy Jumps

Rational Age ChallengeOnline version

Age problems with fractions

by NELLIE ABAD

Two siblings' ages are in a 1:2 ratio. In 6 years, their combined ages will be 42. What is the younger sibling's current age?

A son’s age is x years and his father’s age is (3/2)x. In 8 years, their ages sum to 60. Solve for x.

17.6

A mother’s age is (4/3) times her daughter’s age. In 5 years, their combined ages will be 50. Daughter’s current age?

120/7 (~17.14)

A man’s age is (7/5) of his son’s age. In 4 years, the sum of their ages is 40. Son’s current age?

40/3 (~13.33)

An aunt is (2/3) of her nephew’s age. In 3 years, their sum is 30. Nephew’s current age?

72/5 (14.4)

A grandfather’s age is x and granddaughter’s is x/2. In 12 years, their sum is 60. Grandfather’s current age?

Ages are in ratio 3:5. In 9 years, their sum is 54. What are the two current ages?

9 and 15

13.5 and 22.5

15 and 25

Two people ages are in ratio 4:7. In 6 years, their sum is 60. What are their current ages?

24 and 42

16 and 28

20 and 35

A mother is the fraction (3/5) of her son's age. In 10 years, their combined ages equal 50. Son’s current age?

18.75

Two siblings’ ages satisfy x/3 = y/4 (older is x). In 5 years, their ages total 60. Younger sister’s current age?

28.57

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Rational Age Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Froggy Jumps

Rational Age ChallengeOnline version

by NELLIE ABAD

Two siblings' ages are in a 1:2 ratio. In 6 years, their combined ages will be 42. What is the younger sibling's current age?

A son’s age is x years and his father’s age is (3/2)x. In 8 years, their ages sum to 60. Solve for x.

A mother’s age is (4/3) times her daughter’s age. In 5 years, their combined ages will be 50. Daughter’s current age?

A man’s age is (7/5) of his son’s age. In 4 years, the sum of their ages is 40. Son’s current age?

An aunt is (2/3) of her nephew’s age. In 3 years, their sum is 30. Nephew’s current age?

A grandfather’s age is x and granddaughter’s is x/2. In 12 years, their sum is 60. Grandfather’s current age?

Ages are in ratio 3:5. In 9 years, their sum is 54. What are the two current ages?

Two people ages are in ratio 4:7. In 6 years, their sum is 60. What are their current ages?

A mother is the fraction (3/5) of her son's age. In 10 years, their combined ages equal 50. Son’s current age?

Two siblings’ ages satisfy x/3 = y/4 (older is x). In 5 years, their ages total 60. Younger sister’s current age?

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