Age problems
Kati and Julia
Kati and Julia together are 26 years old. Kati is four years older than her
sister.
How old is Kati and how old is Julia? How many years ago was Julia half
the age of Kati?
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chart
| |
1st try |
2nd try |
3rd try |
| Julia |
10 |
12 |
11 |
| Kati |
14 |
16 |
15 |
| total? |
24 |
28 |
26 |
| total debit |
26 |
26 |
26 |
| |
too less |
too much |
just right! |
| |
| Julia |
2 |
5 |
4 |
| Kati |
6 |
9 |
8 |
| Kati debit? |
4 |
4 |
4 |
| |
too less |
too much |
just right! |
Informative Figur
Because Julia + Julia + 4 = 26 and with that Julia + Julia = 22, it means
that Julia is 11 years and Kati 15 years old.
This shows that Julia has been 4 years old 7 years ago.
Solution:
Julia is 11 and Kati is 15 years old. Seven years ago Kati was double the
age of Julia, which means Kati was 8 and Julia was 4 years old.
Father and son:
A father is going to be twice the age of his son in 16 years. Together their
ages amount to 40 years.
How old is each of them?
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chart
F = age of the father today, S = age of the son today
| |
1st try |
2nd try |
3rd try |
| F in 16 years |
42 |
50 |
48 |
| S in 16 years |
21 |
25 |
24 |
| F today |
26 |
34 |
32 |
| S today |
5 |
19 |
8 |
| sum today |
31 |
53 |
40 |
| sum debit? |
40 |
40 |
40 |
| |
too less |
too much |
just right! |
Equation
Informative Figure
The total length of the row has the sum of 72. In 16 years the son will be a
third of 72, which is 24 and the father two thirds, which is 48 years old.
The result is that the son is 8 years and the father 32 years old.
Solution
The father is 32 years and the son 8 years old.
"Mother-Daughter"
A mother is 32 and her daughter 10 years old.
In how many years is the mother going to be twice the age of her daughter?
"Father-Son"
A father is seven times as old as his son and in 10 years he is going to be
three times as old as his son.
How old are they?
"Father and I"
When my father was 31 years old, I was 8. By now my dad is double as
old as I.
How old am I today?
"Tobias"
Tobias is 4 years younger than Ariane. In 6 years they will be 42 years old
together.
See if both of them are already allowed to drive a car (which is with the
age to drive being 18 years old in Germany)!
"Ann, Kim and Thorsten"
Ann is 6 years older than Kim. Kim is 2 years younger than Thorsten. In 5
years Ann and Kim are 22 years older than Thorsten.
How old are the three now?
