Anna was 6 years old last year. She was 27 years younger than Zoe.
- How old will her Zoe be 5 years later?
- In how many years' time will Anna's age be 14 of Zoe's age?
| |
Anna |
Zoe |
Difference |
| Before (Last year) |
6 |
33 |
27 |
| Change 1 |
+ 1 |
+ 1 |
|
| After 1 (Now) |
7 |
34 |
27 |
| Change 2 |
+ 5 |
+ 5 |
|
| After 2 (5 years later) |
|
? |
27 |
(a)
Zoe's age this year
= 6 + 27
= 33
Zoe's age this year
= 33 + 1
= 34
Zoe's age in 5 years' time
= 34 + 5
= 39
| |
Anna |
Zoe |
Difference |
| Before |
7 |
34 |
27 |
| Change |
+ ? |
+ ? |
|
| After |
1 u |
4 u |
3 u |
(b)
The difference in the age between Anna and Zoe at first and in the end remains unchanged.
Difference in the age between Anna and Zoe
= 4 u - 1 u
= 3 u
3 u = 27
1 u = 27 ÷ 3 = 9
Number of years' time that Anna's age be
14 of Zoe's age
= 9 - 7
= 2
Answer(s): (a) 39; (b) 2
