Math Drills
Age Problems
3Word Problems
What this worksheet covers
Grade 6 (Elementary School) / Various Word Problems / Age Problems
Word problems reach their answers from the way ages move. Five are worked: how many years until one age is a multiple of another, how many years ago it was, when the two together come to a fixed figure, finding the ages of an older and a younger brother from their total and their difference, and tracing back to a child's age today.
In a question about the total, the gap between the target total and the present total gets copied straight down as the number of years. Both people gain a year as each year passes, so the total grows by 2 every year. Add the number of years found to the present ages of the two and it can be checked against the target.
Elementary school mathematics comes to its end with this lesson. The hand used as far as Elimination Problems, setting an unknown figure provisionally and assembling an expression, carries on into the equations of junior high school with only its form changed.
- Years Later1 question
- Years Before1 question
- Sum of Ages1 question
- Older and Younger Brother1 question
- Current Age1 question
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Problems and answers on this worksheet
These are the problems in “Various Word Problems”, shown with their answers.
(1)The father is 42 years old, and the child is 10 years old. In how many years later will the father's age be 2 times the child's age? Answer □
Answer: 22years later
(2)Right now, Father is 41 years old, and the child is 13 years old. How many years ago was Father's age 5 times the child's age? Answer □
Answer: 6years ago
(3)Now, Mom is 35 years old, and the child is 13 years old. In how many years will the sum of these 2 people's ages be 56 years old? Answer □
Answer: 4years later
(4)Older brother and younger brother's ages add up to 18 years old, and the difference between them is 8 years old. How old is each of them now? Older brother □ Younger brother □
Answer: 13years old, 5years old
(5)Mother is 32 years old now. 4 years later, Mother's age will be 3 times the child's age. What is the child's current age now, in how many years? Answer □
Answer: 8years old
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